In short, no. Many Christians tend to (wrongly) call only the Father, God, as if that’s the name of the Father only. I grew up doing the same thing. I think that is also part of the reason I had so much trouble believing Jesus was God. But Jesus is God! (See the entire New Testament) So if we ever list out the persons of the Trinity, we should say the “Father, the Son and the Holy Spirit.” But if we say “God, The Son and the Holy Spirit” we accidentally imply that the Son and the Holy Spirit are not God. We can state that the “Father is God,” but not the other way around if we want to be careful. We have to state that “God is the Son, the Father, and the Spirit” if we ever name one of the persons when defining the Trinity. We have to name all of them. “God” is not a name for just one of the hypostases (persons) of the Trinity. We can say that “Jesus was with God” in the beginning, based on John 1:1 and John 1:14. It literally says, the Word was with God and then says that Jesus is the Word who became flesh, so logically, “Jesus was with God.” However, John 1 is carefully worded so that being God and being with God are said in the same breath, we we do wise to do the same. So, Jesus is God and was with God in the beginning. Yes, God was with God! “The Lord says to my Lord: “Sit at my right hand…” (Psalm 110:1)
Adorn the Gospel 