The Parachute Outfit listed as Old Buckenham above has now moved to Beccles:
You can certainly fly in there in an average SEP.
Alternatively there's an Outfit at Chatteris 12 NM SE of Peterborough:
Google 'em. Don't see why you shouldn't fly in there either but you'd need to check with them as they're always pretty busy.
My daughter did a tandem charity jump there (after 4 cancellations for weather) and they were very professional: the video they did was excellent.
Cusco