Heck yeah. Here in Hollywood, natives tend to leave celebrities alone, knowing they're just trying to enjoy some time out.
I once saw ...what's his name? Ross from Friends, run at top speed with a girlfriend through The Grove (an outdoor shopping center in Los Angeles), covering his face with his hands, into the movie theater. He was obviously trying to get by unrecognized, or at least not get cornered by fans. However, he is SSOOOOO recognizable - I hardly know what he looked like and there was no mistaking him as he cruised past me. No wonder he has to run.
Celebs sometimes just want to go out with a friend and be a regular person rather than be signing autographs and posing for other people selfies. Can you imagine if you were out on a date and fans kept interrupting? Always? Forever? Ugh.