Absolutely! ...although I am not sure speed is critical. Unless they attempt to have Trump executed they will just act like fools and all the world will see that America has become a banana republic, not to be taken seriously.
If Roberts chooses to preside and the Senate finds him guilty and passes punishment, then SCOTUS can be addressed immediately (although Trump's team might have to go through the DC district court) -- on the grounds of passing a Bill of Attainder - a legislative law passed to affect only one citizen, among other outrages.
If SCOTUS refuses the case or rules against Trump, then you need not mention the Supreme Court again until Constitutional law is restored.