Of course not. As God and man, there's no reason to believe he couldn't have children. How would that take away from Jesus as part of the trinity?
//How would that take away from Jesus as part of the trinity?/
Because God is not a man, he is God. And Jesus could not sin, being married considering he knew he was going to die and the status of widows and orphans would have been selfishn which would have been a sin.
It is insane to think Jesus had children, Jesus was FULLY God, AND fully human, not one of us, but unique. There is no reason to believe he would have had children, but if He had he could not have been sinless.