If God is actually God he can do anything he wants. If the universe can be spoken into existence he can certainly impregnate a teenage girl by wishing it. If God can create life in all it's complexity, and all the stars and planets in the universe, who are we to place restrictions on his power?
As for Jesus Christ, there are three possibilities. He was a start raving lunatic, a conniving con man or exactly who he said he was.
I personally will go with an all powerful God whose only limitations are the ones he places on himself and Jesus Christ as exactly who he said he was.
God I assume through logic, Christ through faith.
Alas, I think this discussion is in the wrong part of the site.