Well, maybe not.
Marmosets (a kind of South American monkey) share the otherwise exclusively human trait of chatting for the sake of it. Scientists have no idea what the monkeys are saying when they're chattering in groups, but have observed that they take turns shooting the s**t. In fact, they're even more polite about it than most humans are -- waiting a few seconds after the other has finished speaking so as to avoid interrupting. Researchers observed conversations lasting for up to 30 minutes at a time, at which point, we suppose, even the marmosets made up an excuse to leave.
"Well, I should probably get back to flinging poop. Good talking to you."
The researchers note that chimps and other almost-human apes have a tendency to speak over the top of one another rather than engage in polite discourse. And that marmosets tend to chat more frequently with monkeys other than those whom they are mated with, which, when you think about it, is also an oddly human phenomenon.
And then you have chimpanzees. Scientists know that, chimps being highly playful creatures, most of them spend their time in groups jumping out from behind things, tackling each other, throwing their poop around, etc. Chimp stuff. But in a study of chimp behavior done by researchers at the University of Portsmouth, they found that chimps had two distinct kinds of "laughter" during play time. The ones that were actively engaged in play responded with ordinary laughter, but the other, nearby chimps made a much more forced, less intense, and more deliberate sound. In other words, it was more like the chimp equivalent of you going "heh" after your dad tells a particularly horrid joke.
Or when the alpha chimp tells his racist joke about the two bonobos who walk into a bar.