Stretch is not illegal.
However there are construction and use regulations. Tyre manufacturers state that certain tyre sizes can be fitted to certain size rims. EG:
Tyre Size: 225/40/18
Allowed wheel sizes : 7.5 to 8.5
This is all documented and available on each tyre manufacturers website.
You can fit tyres to the wheel widths specified by those "legally".
So if Falken (for example) say you can put 225/40 on a 9.5 inch wheel, then that is completely legal and you are completely within your right to do so. However, put it on a 10 inch wheel and you're screwed..
With regards to poke you can have a maximum of 30mm out from the most outer part of the wheel arch, the sidewall can be exposed however the TREAD must be covered by the wheel arch.
In the real world, due to different tyres running different actual width, you may find that some tyres stretch less... so I had 215/35 on my Mercedes wheels, which are 8.5 inches wide. I still have a rim protector....
So I am very unlikely to have it questioned by police officers in the event on a stop, as the tyres don't look out of place. However if they were so inclined they could pick up on it.. But as the stretch was sensible and not visually excessive, it's one of those things..