I think it is! I'm not very familiar with Motorola devices, however. I'm sure someone more well-versed in that area will comment soon!
Is the lock screen (padlock) icon high lighted? If so this may just be an indicator to tell you your using the standard lock screen.
What happens if you long-press that notification, or swipe it halfway?
Aha! Which app? Do you mean you were able to turn that notification off?