Yes they can. If avoiding the penalties for parking on double yellows was as simple as parking on the pavement, everyone would be doing it.
While I'm in this thread, I have a question. Is it possible to ring traffic wardens yourself and report a parking violation? Reason I ask is I've seen a car, in a very quiet part of town which was parked on a pavement so wide that you could erect a house on it, being ticketed by a warden on a scooter. I can only assume he was called as it is a very unlikely area for wardens to hang out in.
While I'm in this thread, I have a question. Is it possible to ring traffic wardens yourself and report a parking violation? Reason I ask is I've seen a car, in a very quiet part of town which was parked on a pavement so wide that you could erect a house on it, being ticketed by a warden on a scooter. I can only assume he was called as it is a very unlikely area for wardens to hang out in.

If you are.