While streaking, can I "shock" police officers?
I've determined that you can, in fact, shock police and military officers. In fact, you can shock gang members, and even people driving cars, if you can get close enough.
The Saintsbook challenge is for time though, and the rewards are otherwise uninteresting. If it's a pain, you're better off just starting streaking, waiting for time to run out, and then starting again. There's no added benefit to actually doing "well" at the minigame.