No you can't interrupt the court proceedings. There's a door adjacent to the Courtroom that the Judge can order his Bailiffs to send you through and charge you with contempt of Court if you act up in the Courtroom.
The most extreme cases of Courtroom disruptions I have ever witnessed is these people that claim that the Court has no authority over them (aka 'Sovereign Citizens'), here's some examples:
News 
Market Data 
Discover 
AI
