Not any more. See the recent (still current?) push towards cancelling David Chapelle.

That's not new though, is it? Comedy has often created push back from groups that feel like you can make jokes, but not about them. The new part seems to be that it's very public and, if you witness it live, seems very powerful. Before Twitter, you wouldn't see/hear about the angry letters sent to TV stations or newspapers, unless they were so numerous that the executives made a decision to give in to their demands.