If the computer has a PS/2 port that you aren’t using, you could probably power the device by plugging it into a passive USB adapter like the ones that came with older keyboards and mice.

There are adapters that allow you to plug an M-key SSD into that A+E-key slot, for example that one: https://www.delock.de/produkt/64137/merkmale.html?f=s

They should work on most computers, but some machines have a whitelist of supported WiFi cards and ignore anything else you plug into the slot for the WiFi module.