Assuming that ice core data is being interpreted correctly, there is an almost guaranteed chance of catastrophic climate change sometime in the "near" future regardless of human impact: https://en.wikipedia.org/wiki/File:Vostok_Petit_data.svg

EDIT:

Looking at that a bit closer, I get peak temperatures at ~ 412.5k, 322.5k, 237.5k, 127.5k, and 7.5k years ago.