Short answer

No. God (﷾) has no son, and the Qur'an never calls Jesus the son of God. In the Bible, "son of God" is a title of God's (﷾) favour, not a claim to be God. God (﷾) calls Israel "my son, even my firstborn". To the king of Israel He says, "Thou art my Son; this day have I begotten thee". Of Solomon He says, "he shall be my son". Luke calls Adam "the son of God". Even "only begotten" is used of Isaac, though Ishmael was older and still alive. When a crowd accused Jesus of making himself God, he answered from the Psalms. His claim, he said, was "I am the Son of God", in that same sense of honour. Islam's answer is in the Qur'an: "He begetteth not, nor is He begotten".

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