I don't think it's super likely, though if our president decides to declare war to try reignite American imperialism, then it seems like it could happen.
He's already talked about invading Greenland, what's to stop him from trying to invade somewhere else, somewhere with more firepower to fight back? All it would take is Fox News or OAN to start running stories about how the US is actually entitled to the land of France. It's not like it matters if there's any truth to it.
Is it? I mean I don't think they could legally refuse (if use of force was authorized by the president and congress)? So it would still effectively be a military "coup" and those can obviously still happen in authoritarian countries.