If not, you almost certainly should. It's like a conviction: if I find it when I run the background check, first I'm surprised, and second, the candidate has lost all opportunity to set context. Plus not mentioning it borders on lying.
I don't suspect the best context for you is someone set me up; you should try "I did some dumb things (assuming this wasn't outright criminality), stuff was someone exaggerated, I'm a different person."