When I was growing up, abortion was basically illegal everywhere. Furthermore, there were very strong social sanctions attached to it in most communities. If a girl/woman got an abortion, it was basically the same as a confirmation that she was a slut/whore/you pick the right word.
But there was a movement afoot around the country in the late 60's and early 70's, and a few states had repealed their laws or stopped trying to enforce them, or making exceptions for "research" or whatever. The Supreme Court figuratively took the world by storm when they decreed that [basically] a woman had a "right" to get an abortion during the first trimester of pregnancy. We now know that this "right" was nothing more than Leftist sophistry that has now been properly tossed into the dustbin of history.
During the looooooong period when abortion was outlawed (from the Founding until, say, 1973) there were occasions when desperate women tried primitive means to self-abort, and occasionally these measures resulted in permanent damage, or even death to the woman using them. The current Leftist Narrative is that huge numbers of women died in these attempts, and that "fact" justifies their campaign to re-establish a "woman's right to choose."
A nationwide ban on abortions could only be created by a Constitutional Amendment, which in turn would require super-majorities in legislatures, etc., which supermajority does not currently exist. There could be a ban in a few states - Utah comes to mind - but it would not be completely effective, as various "rights" groups would seek to avoid it by offering free transportation and services to those in need of an abortion.
Polls create false narratives about abortions being supported and opposed; the result of the poll invariably depends on how the questions are presented. While it pains me to type this, President Clinton was on the right track when he suggested that abortions should be legal, safe, and rare. The only question is how to define "rare."