Kind of.

I know of a few arcades which have sections reserved for machines which run on 1p and 2p coins. Not a complete arcade though.

Also, on the end of Southport pier they have a sort of cafe on the end which has a "museum" of maybe 20 or 30 old arcade machines (including 2 "what the butler saw" machines) which run on the OLD 1p pieces - the really big old coins.
It costs £1 for 10 old 1p pieces - that's inflation for you.

There are a few on Blackpool Pleasure beach, they have a little old time arcade on there, they have quite a few.

Ive not seen 1p ones for years but ive noticed that you can still get the 2p ones like the money fountains and fruit machines