That makes zero sense.
First of all, birth control is the best way to avoid unwanted pregnancies. Abortions are a horrible way to do that. The morning after pill remains legal in all states, and while it is not an acceptable alternative to responsible birth control, it is an alternative to women that want an abortion.
There is nothing "natural" from abstaining to one of the most "natural" activities engage in by all species the replicate through sex. It is an attempt to exert control over relationships, rather than enter them in a mutual respectful manner where both parties try to meet the needs of the other.
It is a silly temper tantrum. And every time it has been done before, it has ended relatively quickly because no one cares whether a woman decides not to have sex and so she only hurts herself. Her partner likely moves on. If woman want to work on changing the law, they should. That is how a democracy works. But there is a saying, don't bring your work home with you; in a similar way don't bring your politics home with you. If you do, you will be a lonely person in both instances.
On the positive side, I have two young adult daughters looking for a good guy that don't support abortions. The field just got smaller in terms of competition.