Can Trump and Vance be sued for inciting violence?

The first amendment protects free speech but doesn't apply when that speech is used to spark violence.

If you yell fire in a movie theater and everyone panics and someone gets hurt in that panic the person who lied it's responsible.

I'd say that Trump bringing up the cats and dog thing during the debate wasn't exactly yelling fire, but I'd argue that given their positions and influence and doubling down on this eating cats and dogs thing which has resulted in hate crimes and bomb threats to schools and the proud boys marching through the city, all while the mayor is asking them over and over to stop, should qualify as inciting violence.

Is there any legal precedent here? People are getting hurt because of the rhetoric of Trump and Vance.