Mad Sweeny:
I’m not sure of the practicality of producing electricity this way but yes it absolutely can be done. Pressure differentials on certain types of materials will in fact produce an electrical current. One such material is quartz crystal. Putting the big squeeze on it will directly make a small amount of DC electricity.
When earthquakes occur, sometimes huge deposits of quartz are compressed; this has resulted in intense electrical discharge at the site of compression and random generations of high voltage ball lighting. A little more power then we’re looking for, but that’s how it works.
I suggest arranging honeycombed sandwiched slices of quartz woven together using flexible carbon fiber thread as the conductor material and to tie it together. The edges of the carpet could be tied down with metal eyelets making contact with carbon fiber conductors as appropriate. Your feed lines would of course be tied from the metal eyelets to your charging / power storage device.
Voila, there you have it, free electricity! It even has the potential to correct an ongoing societal injustice. Yes I’m talking about discrimination against our plus size citizens.
No longer should their weight bring an overcast of darkness to their lives. In fact the more they weigh, the brighter the light will be. Proverbs 4:18
Freeman