Some life, sure. We'll extinct untold millions of species on the way out. Michael Crichton, the author of Jurassic Park, was a climate change denier, not a scientist.
No assumption is safe. We're playing with forces we don't understand and consistently finding the results worse than we expect. Life on Earth is a solitary speck of an exception to the norm we've found literally everywhere else, which is the complete absence of life.
There is certainly life on Earth more resilient than humans, but even the most hardy of extremophiles have their limit. We cannot claim that our damage to this planet will reverse before that limit is reached. It might, but we have no basis to say it will.
In reality, this will have them surrounded by a glass bubble with humans looking down at them in a futuristic zoo, planet zoo, or spaceship.
Sorry folks, the only ones getting through extinction out of almost everything are humans and anything we arbitrarily like.
Dogs, cats, birbs, maybe some exotic pets.
Shit like cows, pigs, livestock, all that shit will end up near extinct too unless you full rural even in a space faring civilization as some sort of oddity.
Kid: We used to eat these things that shit and piss? Gross, Dad. You're lying!