They certainly have the option to try to codify abortion through legislation, it’s what Ruth Ginsberg was recommending. I don’t know if they actually have the votes, though. If they do, it will certainly be challenged and back in the SC post haste, but Ginsberg’s point was that legislation can be defended on any basis but a SC decision such as Roe was restricted strictly to the terms of the decision itself, which she felt were weak in Roe (she was right) and would be overturned at some point because of that (she was right). Hence any such legislation would have to be very carefully crafted. If the Dems had listened to her they’d be ready with that by now but they didn’t.
49 Democrats plus Murkowski and Collins (minus Manchin). They can use the nuclear option. You could argue that they can codify abortion through legislation because there is no constitutional right to abortion. Also, they can tie it to the highway funds. If you do not allow unrestricted abortion on request, the feds will take away $$$.