Well, there is sign language, so I guess you're right. It would be interesting to see how high bandwidth gesturing can be compared to speaking.
I thought about this some more and I think the prevalence of making sounds rather than gesturing etc. is due to sound being a broadcasting mechanism that works over long distances and without line of sight.
Visually indicating that you've claimed some territory is pretty hard.
I was thinking more about "low level" communication which can be gleaned from body language, frowns, smiles, gaze, winks, pointing etc. Perhaps not very information dense, but very fast.