I doubt that. I think it's more likely the bursitis.
Actually, I'm a little confused by the PT's diagnosis of "hamstring bursitis" as there actually aren't any bursae around the origin of the hamstrings!

I think he meant tendinitis!
Of course it can, provided it's not a brisk and persistent bleed. But from what you've said it doesn't appear to be that - like your knee is not swelling up like a huge balloon. If it was, you'd be in extremis (acute pain!). So most small bleeds will ultimately be taken care of in the usual, natural way with clotting, just like it does if you graze your knee or slice your finger with a kitchen knife.
How long it takes is another thing. It depends
why it is bleeding. There are many reasons why this might be
1. an inflammatory process which is bleeding because it's so inflamed
2. something is scraping on it but I can't think what. I've never heard of an 'impingement' doing that