We might have some wiggle room, or might be past the tipping point, but we do not have enough info to be sure. It depends of unknown strength of known positive feedback loops, like:
- melting permafrost releasing potent greenhouse gas methane
- drying permafrost bogs release CO2 or even burn
- warming ocean might release https://en.wikipedia.org/wiki/Methane_clathrate (methane ice) - remember Deepwater Horizon?
- and likely more.
What we are certain is, the more CO2 we release, the closer we will get to the tipping point, after which different climate might stabilize, close to PETM, the onset of which has been linked to an initial 5 °C temperature rise and extreme changes in Earth’s carbon cycle. It lasted about 170K years. Alligators in Alaska, ocean level 270 feet (90 m) higher), lots of arable land and many big cities (London, New York, Shanghai) submerged, etc.
How big human population such different planet can support? We don't know, but I am not sure we should try to find out the hard way.
Or another way to formulate this: Can Earth support intelligent life? We don't know, we are about to find out.
One solution for Fermi Paradox ("Where is everybody?") is that technological civilizations like ours destroy their environment and go extinct.