An interceptor can gain cooperation from an intercepted aircraft by means of a show of force ie forming up on the target’s 6 and 9 o clock position and attempting to contact them on the emergency radio channel. If the target remains unresponsive or refuses to comply, a fighter will often cut in front of its flight path in afterburner, causing the target aircraft to be rocked and buffeted in the jet wash. This is usually enough to get a response from the target aircraft and compliance with the lead fighter’s or ATC’s instruction.
Any kind of intentional damage to the intercepted aircraft would not be done unless deadly force were authorized against the target, in which case full force ie employment of weapons against the target aircraft to shoot it down would be authorized.
The video below is a good report on interception procedures against a civilian aircraft. It was a joint exercise between the civil air patrol and an F-16 ANG unit.