Is it a flash drive or a 2.5" or 3.5" in a caddy (mechanical)?
If it's a mechanical drive does it click at all? You could pop it in a ziplock bag. put it in, start sealing the bag, leave a small gap and squeeze the air out and seal the bag. pop it in the freezer for at least 6 hours, take it out and connect it to a PC/Laptop IMMEDIATELY as you'll have a few minutes to an hour to get it back, if this method will work on it.
If it's a flash drive, good luck
We used
Datastor last week to recover data from a failed laptop drive badly clicking for a customer, they managed to recover EVERYTHING. They may be able to help, if you go through a company as a partner it'll be cheaper than going to them directly iirc.
I can't remember the software we used to recover a formatted drive and deleted files it was so long ago.