I believe it is, Darthwraith. At least, I checked a few of your characters and they all appear to have Trust level 3.
I don’t believe qualification is shared across multiple characters though. So you’ll likely need to maintain Trust Level 3 on a single character to keep it.
Edit: I don’t really have multiple characters to test it, so you’ll definitely want to give it a try. Switching characters won’t remove that character’s Trust level, if your other character doesn’t have Trust 3 you can switch back.
I really should get patch notes for the forums so I can double check these things. O.o