No.
Here is why, if it is purely the choice of the woman whether to keep a child or not, then men shouldn't be responsible for child support. That isn't fair.
If a woman can kill the child or keep it, as a choice, men shouldn't be responsible for child support if they have no say.
If woman do not have a say, and it is illegal to kill children, then men are responsible for child support.
If the man promised to support the baby as it was conceived or during the pregnancy, then it is the man's responsibility to support it.
If the man has responsibility due to an abortion occurring or not, then they should have a say. If they do not, then they should be freed of all consequences.
However, if the woman does not want the baby then it is her choice. If a man does not want the baby, then he shouldn't have to pay child support unless he promised her this in order to have sex with her.