Is it possible to have a receptacle on the floor in the middle of a basement?

Indeed it is!!!!

…..the wiring is a special one along with the box and finish trim. It’s especially practical if you want a free standing lamp behind a recliner or couch (which is in the middle of the room) without having the electric cord run from the wall to your lamp. Also use to power up for example: air hockey table or other powered units.