Moderators:
- I believe have the ability to Ban users - Not sure what/if there are restrictions.
Nope, mods can not ban users. But we can request it, and the global mods/admin do it... or not

.
But mods have the ability to nuke (delete all posts and ban) newbies under certain conditions.
Edit : And if mods can't ban a user, mods (not Global Mods) can even less unban a user.