I'd argue that humans have at least a handful of "central biological drives". Communication is probably just as important as reproduction. Biological reproduction doesn't differentiate us from most animals. So if your idea of "our" is "all animals", then you may be right. But if you mean "humans", you're probably wrong.

Not to say that we can necessarily survive significantly long if we all stopped reproducing... But that we wouldn't survive much longer (as humans) if we all stopped communicating. Probably less, given the state of things today.