Probably not, because an unmarried male who thinks he's the father of a baby in the womb or in a crib has no parental rights untill he has established paternity through the legal system. That can't nor will it happen until the fetus has been born, DNA testing has occurred, and the male has taken the matter to court to establish his paternal rights.
Your state's child protection agency might get involved if for example the mother to be is abusing illegal drugs and endangering the baby's health.