And trees grew in Antarctica and the Arctic (14 million years ago)
Paleoclimate evidence shows this will happen again. There's a lag time between carbon emissions and temperature increases, the same way you don't instantly hit 60 mph when you stomp the gas pedal. The atmosphere is still shifting gears, the rpm's still climbing.
Even if all human carbon emissions stopped tomorrow (they won't), the positive feedbacks from burning forests and thawing permafrost would keep GHG levels rising for the remainder of the 21st century. Just one example: we've likely passed the tipping point that keeps the Amazon wet enough to survive. If we have, it means most of the Amazon will dry up, die and burn into grasslands by 2100, venting billions of tons of carbon. Now look at what happened in Canada's forests last summer, or Siberian forests in previous years.
Left to it's own devices, it would take Nature 100,000 yr or more to sequester enough carbon to return us to preindustrial levels, based on paleoclimate data from previous carbon spikes like the PETM.
Only a few decades of additional warming locked in is utter magical thinking.