Not exactly, that's admins. Mods are chosen from regular HI players, and not exactly randomly. As for the question, I'd think if you had 1-2 vios and they timed out, you might still be considered as a mod, based on how "offensive"/how long ago the vios were, but you would still have a vio record. Quote OK
Unless you work there, there's a slim to none chance you will become one
However, you would have to ask the admins about that one, players (or even mods themselves) can't really tell you about how Support chooses mods.