The question is when you consider planet Earth "destroyed". Most likely it will remain blue and keep its atmosphere. Life will continue. It could be "destroyed" in the sense that humans sustainably sabotage their own long-term survival, or the survival of other species.

Short of a nuclear war, I don't think humanity will get close to extinction. But I think we are on a path to lose access to today's cultural knowledge (like microchips, vaccines, aviation). If the population is forced to shrink over the next couple of centuries, wars over fertile ground seem more likely than specialized global supply chains.