The parking stickers are linked to specific cars and plate #s so it would be possible to use the plate # to see if it's associated with a sticker.
However when I got my parking sticker it came in the mail. So if I gave it to a nonresident he could put it on his car.
As far as them cross referencing the sticker against the plate —maybe. I would think (just guessing here) that they are more concerned with having a sticker on the car and if the vehicle doesn’t have one, using the plate # to send a ticket. So they really don't have to establish a data base of stickers and plates. Note that the application for the permits are done on a paper form that's mailed into the town/village with (and most important IMHO) your check.
Note that for my beach sticker, the girl (always a girl for some reason) puts it on my car so giving it to a non-resident isn’t possible.