Yep no problem. Rate it slower, maybe 200 or so... and just bracket and see what works for you. It will have lost some contrast and will probably make a nice portrait film.
I have shot panatomic x that was 30+ years old, unrefrigerated, and no problem at all. There was base fog for sure but the film was still very usable. A faster film like hp5 will have more base fog but I bet it'll still make a very nice low contrast 200-speed film.