Yes, near to me is West London Models, they've been around for at least 30 years too.
In the 1970's and 80's they were mainly about R/C models - they even built a robot dog for a popular BBC Sci Fi programme in the mid 70's.
Now however, they do it all - plastic models and R/C - after the premises expanded, but in all those years (I walked past it every day to and from school and pass it regularly today), I have never seen anything like the model in that link.
I would guess that those building and flying models like the C-17 (and LH
747 in the background), do so as part of a group effort, no doubt they've got their own website somewhere.