Women do not need a bachelor’s degree to learn how to not get pregnant.
The whole society needs to accept that women should have rights to birth control, and should have control of when and who they have sex with. And, of course, educated women become able to sell services/goods that allow them to be financially independent, so as to not be coercible.
This happens to correlate with a society where women are more educated, but due to differences in physical power, “educated” men have to be part of the equation.
I do not see a reason to rank the causal factors, but I can point to a few societies where the women and men are “educated”, but the women lack the rights they have elsewhere (either legally or practically).
Probably not, but there are countries where women are allowed an education and still do not have the rights they should have. Which is alluded to by the fact that they are “allowed” an education in the first place.