I'd say no. The States have certain filing and eligibility requirements. But they're all constitutionally based.
The only relevant constitutionally recognized justification for removal of a presidential candidate from state primaries would be rebellion or insurrection. And even that would be debatable, as the the 14th amendment never expliciltly cites presidents. It prohibits an insurrectionist from 'holding any office'.
You can *argue* that Trump incited an insurrection on J6. But he's never been charged with it, let alone convicted. So there'd be zero legal justification to invoke the 14th amendment on the matter.
That being said, there are 50 states and I'm not familiar with all of their election rules. So possible? But I seriously doubt it.