Technically, it wouldn’t be banning Trump from running for President. It would just be some states banning him from appearing on the ballots in that state because he didn’t comply with that state’s election laws. Which is something states do all the time now. Granted, the candidates from the two major parties don’t usually get left off the ballots.
In New York, for example, there were four presidential candidates on the 2016 ballots; Donald Trump, Hillary Clinton, Gary Johnson, and Jill Stein. There were several other people running - Darrell Castle, Rocky De La Fuente, Richard Duncan, Rocky Giordani, James Hedges, Tom Hoefling, Chris Keniston, Alyson Kennedy, Laurence Kotlikoff, Gloria La Riva, Mike Maturen, Evan McMullin, Monica Moorehead, Rod Silva, Peter Skewes, Mimi Soltysik, Dan Vacek, and Jerry White - but none of them met the legal standards to be on the ballot in New York.