Are individuals diagnosed with Hemophilia or Von Willebrand disease medically disqualified from joining the Navy or Army? Both are bleeding disorders.
While you would need to talk with a recruiter for confirmation, I would be 90% certain in saying that they would be disqualifying. Bleeding disorders like those would need extra medical care in case of injury, and I imagine getting a waiver for them would be difficult to impossible.
It never hurts to ask a recruiter, though.