No, if she has the option of abortion she has no grounds to make that argument on. Im not sure if you understood. The argument I was mentioning is against making abortion illegal, because if "a woman is forced to cary the baby to term, then she is a ward of the state". I think the argument is illogical and silly, because one is forced to care for the child for 18 years(in most cases), and that too, under the same logic, would make the woman(and the man) a "ward of the state".
My point is that abortion gives her the option of not having the child therefore she has no basis on which to claim she is a ward of the state for having to support her child until it's 18. Legalized abortion gives her the option of not having the child and if she does it gives society the right to obligate her to look after it.