Well, ostensibly this is true, as it is entirely possible for an asteroid impact to wipe out all life on Earth, and we couldn't do that even if we detonated every single nuclear weapon on the planet (though we could well make the planet uninhabitable for us).
Just strikes me that an as yet unexplored scenario is when an asteriod hits a field full of nuclear weapon silos.
As it stands, however, we are in the middle of one of the largest extinction events in Earth's history (on par with the asteroid that killed the dinosaurs), and this is due to human activity.
Indeed.