I've certainly flown the Bill on several occasions in the dear old Vickers FunBus to watch air-to-air refuelling. Gave the local Thames Valley boys a squadron print signed by the crew - with their car registrations added!
Was promised a return trip in a patrol vehicle; unfortunately I couldn't make it on the day as several inches of thick snow were dumped on the area overnight and I didn't want to become a statistic by trying to get to the cop shop to meet the chaps.
Fast jet may be a bit trickier though - good luck if you can swing it. Oh - and do mind how you go, sir!