Yes.The planet will definitely survive. Should we actually care if, because of our actions, humans and lots of other current life forms become extinct relatively soon? Are we too obsessed with preserving the status quo?
In terms of the planet, humankind is a complete irrelevance, however most people don't like/want to acknowledge that.
As I've said in other threads, purely from the perspective of the planet and its survival, it would be better if we all ceased to exist.