Not called "Portable Appliance Testing" anymore.
Its "In Service Inspection and Testing of Electrical Equipment"
Yes it does cover "fixed equipment" such as hand dryers, heaters etc. Partly due to the fact that quite a few bits of kit were never tested i.e. hand dryers, night club manager / owner locally was inspecting the bathrooms and happened to touch one of the hand dryers and got a massive belt off it, touchless start so none of the clients had thankfully touched it, turned out the earth had come free and the line conductor was making contact with the casing, he happened to have a potential to earth (possibly touching a radiator or something) and therefore became the path to earth. Never tested as not covered by a PIR nor by PAT Testing.
Testing yes you could use an MFT, heck you could use an MFT on any appliance.
Inspection should be done first, damaged cord sheath might not be picked up by testing, but your eyes and hands should pick it up during de-energised inspection. Inspection should also note any damage to fixed wiring / accessories (scorching/burn marks, cracked sockets etc) and mark it for further inspection / rectification if its not part of the "PAT" tester's role to deal with the fixed wiring.
I did 2377-100 and 2377-200 about 2 years ago and the tutor was a time served spark and electrical design consultant, so he knew his stuff