Short answer
No. Nothing is like Allah (﷾), so His hand is not a limb like ours. The Qur'an says, "there is nothing whatever like unto Him", and "there is none like unto Him". It does speak of Allah's (﷾) hand. It says He created Adam "with my hands", and that on the Last Day the heavens will be rolled up in His right hand. Muslims take these words as Allah (﷾) uses them, without asking how and without likening them to anything created. That is the way of the early scholars, among them Malik, al-Shafi'i and Ahmad. So Muslims do not picture Allah (﷾), and they make no image of Him. The Bible, by contrast, describes God (﷾) walking in a garden and resting to be refreshed.
Full explanation
Nothing is like Him
The Qur'an's rule for every word about Allah (﷾) is this: "there is nothing whatever like unto Him, and He is the One that hears and sees". The short chapter that sums up Islam's belief about God (﷾) ends: "there is none like unto Him". The Qur'an also says no vision can take Him in. And it forbids inventing likenesses for Him. Allah (﷾) says many things of Himself. A Muslim does not picture any of them in the shape of anything he has seen.
“(He is) the Creator of the heavens and the earth: He has made for you pairs from among yourselves, and pairs among cattle: by this means does He multiply you: there is nothing whatever like unto Him, and He is the One that hears and sees (all things).”
“Say: He is Allah, the One and Only; Allah, the Eternal, Absolute; He begetteth not, nor is He begotten; And there is none like unto Him.”
“No vision can grasp Him, but His grasp is over all vision: He is above all comprehension, yet is acquainted with all things.”
“Invent not similitudes for Allah: for Allah knoweth, and ye know not.”
What the Qur'an says about His hand
The Qur'an does speak of Allah's (﷾) hand. Allah (﷾) asks Iblis what kept him from bowing to the one He created "with my hands", which honours Adam above the rest of creation. When the believers pledged themselves to the Prophet (ﷺ), the Qur'an says, "the Hand of Allah is over their hands". On the Day of Judgement the earth will be His handful, and the heavens rolled up in His right hand. These words honour Adam and show Allah's (﷾) power and care. None of them describes a body like ours.
“(Allah) said: "O Iblis! What prevents thee from prostrating thyself to one whom I have created with my hands? Art thou haughty? Or art thou one of the high (and mighty) ones?"”
“Verily those who plight their fealty to thee do no less than plight their fealty to Allah: the Hand of Allah is over their hands: then any one who violates his oath, does so to the harm of his own soul, and any one who fulfils what he has covenanted with Allah,- Allah will soon grant him a great Reward.”
“No just estimate have they made of Allah, such as is due to Him: On the Day of Judgment the whole of the earth will be but His handful, and the heavens will be rolled up in His right hand: Glory to Him! High is He above the Partners they attribute to Him!”
“See they not that it is We Who have created for them - among the things which Our hands have fashioned - cattle, which are under their dominion?-”
How the early scholars read such words
Ibn Kathir, a 14th-century scholar of the Qur'an, explains how Muslims treat the words Allah uses of Himself. He follows the early scholars, naming Malik, al-Awza'i, al-Thawri, al-Layth ibn Sa'd, al-Shafi'i, Ahmad and Ishaq ibn Rahwayh. They accepted the words as they came, without asking how. They did not liken them to created things, and did not change or deny them, because nothing is like Allah (﷾). He quotes Nu'aym ibn Hammad, a teacher of al-Bukhari. Whoever likens Allah (﷾) to His creation has disbelieved, said Nu'aym. And whoever denies what Allah (﷾) says of Himself has disbelieved. So the Muslim keeps both: he believes the word, and he refuses any picture of it.
On "then He rose over (istawa) the Throne", Ibn Kathir says people held conflicting opinions, and that he follows the way of the early scholars, such as Malik, al-Awza'i, al-Thawri, al-Layth ibn Sa'd, al-Shafi'i, Ahmad and Ishaq ibn Rahwayh: to accept the words as they came, without discussing how, without likening them to the attributes of creation, and without changing or denying them, for nothing is like Allah (42:11). He quotes Nu'aym ibn Hammad, a teacher of al-Bukhari: whoever likens Allah to His creation has disbelieved, and whoever denies what Allah has described Himself with has disbelieved; there is no likeness to creation in what Allah and His Messenger (ﷺ) have described Him with.
“(He is) the Creator of the heavens and the earth: He has made for you pairs from among yourselves, and pairs among cattle: by this means does He multiply you: there is nothing whatever like unto Him, and He is the One that hears and sees (all things).”
How the Bible describes God (﷾)
The Bible often speaks of God (﷾) in a man's terms. It too speaks of His arm. In Jeremiah, God (﷾) says, "I have made the earth, the man and the beast that are upon the ground, by my great power and by my outstretched arm". Jeremiah prays, "thou hast made the heaven and the earth by thy great power and stretched out arm". So a critic who says the Qur'an's "hand" gives Allah (﷾) a body would have to say the same of the Bible. Christians teach that God the Son became a man in Jesus. Jeremiah lived centuries before Jesus, so on their own teaching the arm he speaks of cannot be the arm of a body. In Genesis, Adam and Eve hear "the voice of the Lord God walking in the garden in the cool of the day". In Exodus, God (﷾) rested on the seventh day "and was refreshed". In Genesis, Jacob wrestles all night with a man, and afterwards says, "I have seen God face to face". Yet the same Bible says, "God is not a man", and Jesus said, "God is a Spirit". The Qur'an never says Allah (﷾) walked, rested or wrestled. It says no weariness touched Him when He made the heavens and the earth.
“I have made the earth, the man and the beast that are upon the ground, by my great power and by my outstretched arm, and have given it unto whom it seemed meet unto me.”
“Ah Lord God! behold, thou hast made the heaven and the earth by thy great power and stretched out arm, and there is nothing too hard for thee:”
“And they heard the voice of the Lord God walking in the garden in the cool of the day: and Adam and his wife hid themselves from the presence of the Lord God amongst the trees of the garden.”
“It is a sign between me and the children of Israel for ever: for in six days the Lord made heaven and earth, and on the seventh day he rested, and was refreshed.”
“And Jacob was left alone; and there wrestled a man with him until the breaking of the day. And when he saw that he prevailed not against him, he touched the hollow of his thigh; and the hollow of Jacob’s thigh was out of joint, as he wrestled with him. And he said, Let me go, for the day breaketh. And he said, I will not let thee go, except thou bless me. And he said unto him, What is thy name? And he said, Jacob. And he said, Thy name shall be called no more Jacob, but Israel: for as a prince hast thou power with God and with men, and hast prevailed. And Jacob asked him, and said, Tell me, I pray thee, thy name. And he said, Wherefore is it that thou dost ask after my name? And he blessed him there. And Jacob called the name of the place Peniel: for I have seen God face to face, and my life is preserved.”
“God is not a man, that he should lie; neither the son of man, that he should repent: hath he said, and shall he not do it? or hath he spoken, and shall he not make it good?”
“God is a Spirit: and they that worship him must worship him in spirit and in truth.”
“We created the heavens and the earth and all between them in Six Days, nor did any sense of weariness touch Us.”
Perspectives
Christian
Christians teach that God the Son became a man in Jesus, with a human body and human hands.
In Jesus, God took a human body, so God can be said to have hands.
Rebuttal
The Bible itself says, "God is not a man" and "I am God, and not man". Jesus said, "God is a Spirit", and also that "a spirit hath not flesh and bones". A God who is Spirit has no hands of flesh.
The Islamic perspective
Nothing is like Allah (﷾). The Qur'an speaks of His hand, and Muslims accept the word as He uses it, without asking how and without likening it to anything created, as the early scholars did.
The Qur'an says there is nothing like Allah (﷾).
The Qur'an speaks of Allah's (﷾) hand, as when He created Adam "with my hands".
Ibn Kathir follows the early scholars in accepting such words without asking how. They do not liken them to creation, and do not deny them.