Short answer
No. Christians teach that Christ is one person with two natures, one divine and one human. Jesus never spoke of two natures. The Council of Chalcedon, a meeting of church leaders in 451, made the idea official for most churches. And the idea runs into a problem. A nature does not know or suffer; only a person does. Jesus said the Son did not know the hour of the last day. If that person is God the Son, then God (﷾) did not know it. If a second, human "he" did not know, Christ is two persons. The Council of Ephesus condemned that in 431. The Gospels show one person, a man who was hungry, slept, wept and prayed. The Qur'an gives the plain answer: Jesus was a messenger, and he and his mother both ate food.
Full explanation
What the doctrine says
Christians hold that Christ is one person, the eternal Son, in two natures, fully God and fully man. Whatever the Gospels say that fits a man, such as hunger, weakness or not knowing, is placed in his human nature. His divinity is left untouched. The Council of Chalcedon defined this in 451.
The council confessed one and the same Christ in two natures, divine and human, and declared him "not parted or divided into two persons, but one and the same Son".
How the churches defined it
Early in the third century, Tertullian, a Christian writer in North Africa, wrote of two substances joined in one person. In 431 the Council of Ephesus removed Nestorius, the bishop of Constantinople, from office for dividing Christ into two. In 451 the Council of Chalcedon wrote its definition to settle a bitter dispute among the churches. Not all churches agreed even then. The Coptic and Armenian churches, among others, rejected Chalcedon's wording, though they too confess Christ as God.
Writing early in the third century, Tertullian speaks of two substances in Christ, human and divine, not mixed together but joined in one person, Jesus, God and man. It is one of the earliest clear statements of the idea that later became the two-natures doctrine.
The Council of Ephesus, meeting in 431, condemned Nestorius, bishop of Constantinople, and removed him from office. The teaching condemned under his name was that Christ is divided into two, a divine Son and a human son.
The council confessed one and the same Christ in two natures, divine and human, and declared him "not parted or divided into two persons, but one and the same Son".
Not which nature, but who
A nature does not know, suffer or get tempted. Only a person does. Chalcedon says there is only one person, God the Word, the title Christians give the eternal Son. So if the Son did not know the hour and was tempted, then God the Son did not know and was tempted. Yet James says God (﷾) cannot be tempted. The pages on whether Jesus can be fully God and fully man, and on how he was tempted, take this further.
“But of that day and that hour knoweth no man, no, not the angels which are in heaven, neither the Son, but the Father.”
“Then was Jesus led up of the Spirit into the wilderness to be tempted of the devil.”
“Let no man say when he is tempted, I am tempted of God: for God cannot be tempted with evil, neither tempteth he any man:”
The council confessed one and the same Christ in two natures, divine and human, and declared him "not parted or divided into two persons, but one and the same Son".
A rule the verses never state
Jesus never sorts his own words this way. He never says "in my human nature I do not know". He says plainly that only the Father knows. The sorting rule is brought to the verses; the verses never state it.
“But of that day and that hour knoweth no man, no, not the angels which are in heaven, neither the Son, but the Father.”
“Then was Jesus led up of the Spirit into the wilderness to be tempted of the devil.”
One nature: a man who prayed
Jesus never spoke of two natures. The Gospels show one person with one nature. He was hungry, he slept and he wept. He said of himself that he came eating and drinking. He said he could do nothing of himself. He fell on his face and prayed to his Father: "not as I will, but as thou wilt." The Qur'an's argument is the shortest of all: he and his mother both ate food. God (﷾) does none of these things.
“And when he had fasted forty days and forty nights, he was afterward an hungred.”
“And, behold, there arose a great tempest in the sea, insomuch that the ship was covered with the waves: but he was asleep.”
“Jesus wept.”
“The Son of man came eating and drinking, and they say, Behold a man gluttonous, and a winebibber, a friend of publicans and sinners. But wisdom is justified of her children.”
“I can of mine own self do nothing: as I hear, I judge: and my judgment is just; because I seek not mine own will, but the will of the Father which hath sent me.”
“And he went a little further, and fell on his face, and prayed, saying, O my Father, if it be possible, let this cup pass from me: nevertheless not as I will, but as thou wilt.”
“Christ the son of Mary was no more than a messenger; many were the messengers that passed away before him. His mother was a woman of truth. They had both to eat their (daily) food. See how Allah doth make His signs clear to them; yet see in what ways they are deluded away from the truth!”
Verse by verse
Mark 13:32 — Gospel of Mark, chapter 13, verse 32
“But of that day and that hour knoweth no man, no, not the angels which are in heaven, neither the Son, but the Father.”
Cited for
The Son did not know the hour in his human nature. In his divine nature he knew all things.
The response
A nature does not know things; a person does. Chalcedon says Christ is not divided into two persons but is one and the same Son, God the Word. So the one who did not know is the only one there is. To say a second, human "he" did not know is the division condemned at the Council of Ephesus.
Where it lands — The two natures move the problem from the nature to the person. They do not remove it.
Mark 13:32 — Gospel of Mark, chapter 13, verse 32
“But of that day and that hour knoweth no man, no, not the angels which are in heaven, neither the Son, but the Father.”
Cited for
Christ has two minds. In his divine mind he knew the hour; in his human mind he did not.
The response
A mind does not know by itself; a person knows with it. If the one Son knew the hour in his divine mind, then "neither the Son" was not true of him. Jesus did not say "in my human mind"; he said only the Father knows.
Where it lands — Two minds still leave one person who both knew and did not know.
Perspectives
Chalcedonian Christian
Christians hold that Christ is one person, the eternal Son, in two natures without confusion or division. What he did not know or suffered, he did not know or suffered in his human nature.
Christians hold, with the Council of Chalcedon, that Christ is one person in two natures. So his ignorance, temptation and death belong to his human nature.
Rebuttal
Two natures let Christians call Jesus truly a man. But Chalcedon says he is one person, God the Word, not two. If the one Son knew the hour as God, "neither the Son" was not true of him. And Jesus never said "in my human nature". The same one was tempted, though James says God (﷾) cannot be tempted. And Cyril says the Word of God died in the flesh.
The Islamic perspective
Jesus was one person with one nature: a man, a prophet and the Messiah. He was born of a virgin by God's (﷾) word, and he worked miracles by God's (﷾) permission.
The Gospels do not record Jesus using a two-natures formula. The Council of Chalcedon made it official teaching in 451.
No verse states the two-natures rule. Jesus never says that he did not know something only "in his human nature".
Only a person knows or fails to know. If the Son who did not know the hour is God the Son, then God (﷾) did not know it.
The Council of Ephesus in 431 removed Nestorius from office for dividing Christ into two.
So churches that accept Ephesus may not say that a second, human "he" did not know.
Cyril of Alexandria, a fifth-century bishop, wrote a twelfth anathema (a formal condemnation). It condemns anyone who will not confess that the Word of God suffered and died in the flesh. Yet 1 Timothy says God (﷾) alone has immortality.
On Cyril's teaching, if God the Word died, then the God (﷾) who alone has immortality died. If only the man died, the sacrifice was a man's and not God's (﷾).
The Bible says God (﷾) cannot be tempted, and it says Jesus was led into the wilderness to be tempted.
The Gospels record that Jesus was hungry, slept, wept, and ate and drank.
The Qur'an teaches that Jesus was a messenger. He and his mother ate food, as every created person does.