It's possible, but only Inspectors can use it against other people. Enforcers can check a person's Psycho-Pass, but they can't shoot an Inspector.

[ THIS JUST GOT REALLY TECHNICAL. and she immediately realises that when she closes her mouth. so in an attempt to diffuse the situation; ]

Oh—Inspectors are people like myself. We're similar to policemen in a sense. Enforcers are also policemen, but they are latent criminals. They don't have a lot of freedom.