I don't know if humanity is what can do that, and likely nobody knows. But nature is not going to survive either once you broaden the time horizon a bit.
As long as "it" happens before we poison or otherwise harm our planet beyond some "tipping point" after which Earth becomes "inhospitable" to most/all "complex" life in general.
You got downvoted for paraphrasing the poem "There Will Come Soft Rains", from which Bradbury took the title of his story.
I supposed that's to be expected online. Small consolation, but at least some of us understood you :)
And not one will know of the war, not one
Will care at last when it is done.
Not one would mind, neither bird nor tree
If mankind perished utterly;
And Spring herself, when she woke at dawn,
Would scarcely know that we were gone.