could they give me a quick flirt round
All the Police pilots I know just love a good flirt !
Seriously though - If you mean "flight" then they won't - but have you tried actually speaking to them, or even writing ?
They probably won't land at your place, as they would need to remain operationally ready, but you never know you might be able to talk them into a tour of their place - they probably have their own tea supply, but cakes - You should be on a winner with that one if you offer to deliver some