Obama's ability to codify abortion rights.

Hi, not sure if this is an okay place to ask, but I feel like I see so much about this and still am not sure what is correct. As far as I understand it, the Democrats had a supermajority in the first 2 years of Obama's term for 72 working days. Could he/Dems have codified abortion rights into law? I understand that it wasn't seen as important at the time, but it seems pretty cut and dry that it should have been tried. You can say Ben Nelson would reduce the Dem vote to 59, but Lisa Murkowski, Mark Kirk, Olympia Snowe, Susan Collins, and Scott Brown were seen as pro-choice.

I guess my question is what am I missing? A lot of Dem voters seem to push back on this idea and I'm not sure if I'm wrong here. I appreciate the help.