Does the term “Son of God” mean that Jesus is not God?

No, the term “Son of God” does not mean that Jesus is not divine. Think about it. If the term “Son of God” means that Jesus is not God, then does the term “Son of Man” mean that Jesus is not a man? Of course not. Instead, the term is used to describe the majesty and honor of Jesus, who was the Son of God.

1. Jesus Christ is the Son of God, (Matt. 26:63; Mark 1:1; John 20:31; Heb. 4:14).
2. Unclean spirits would fall down before Jesus and say, “You are the Son of God,” (Mark 3:11).
3. “…the holy offspring shall be called the Son of God,” (Luke 1:35).
4. Those who hear the voice of the Son of God shall live (John 5:25).
5. Paul had faith in the Son of God (Gal. 2:20).
6. Son of God has no beginning or end (Heb. 7:3).
7. The Son of God appeared to destroy the works of the devil (1 John 3:8).
8. Believing in the Son of God so that you may have eternal life (1 John 5:13).

We can see that Jesus is the Son of God, that unclean spirits fell down before him, that Paul had faith in him, that he has no beginning or end, and that in him we have eternal life. Clearly this is saying that he is more than just a man.
Finally, John 5:18 is significant.

“For this cause therefore the Jews were seeking all the more to kill Him, because He not only was breaking the Sabbath, but also was calling God His own Father, making Himself equal with God,” (John 5:18).

Notice that saying that God was Jesus’ Father was to make himself equal with God. Therefore, we can see the term “Son of God” is not a denial that Jesus is God. Instead, it affirms it.