No that’s not what happened. Obama came up with a toothless proposal and once ACA was passed he didn’t push further because he didn’t want to piss of the AHA.
So it languished for 6 years with no movement. Trump came in a added it with an executive decision, and it was then that there were legal challenges that were denied. And that’s how we got here.
Like I said, Trump is the worst president of all time but give him his dues when he deserves them. This is one of them.