sure God has DNA. perfect DNA.
this seems like such a silly question. if you believe that Jesus is the son of an all powerful God who is capable of doing anything with in his holly imagination, jesus very well may have not had DNA. God isn't going to be constricted by anything, God can do whatever the hell he wants. if God wants a virgin to start poping out babies then it will happen. it was a miracle right? no sense trying to figure out a biological explanation. like the resurrection, walking on water, turing water to wine. if you beleive Jesus is the son of God then why look for scientific explanations?