No. Other than the factors mentioned by u/CrustalTrudger, there are other things that are guaranteed to happen even if the CO2 content stays at the current level.

For instance, the increase in temperature means that the ice coverage is shrinking. Ice is really good at reflecting the light that hits it back out to space, so the more the ice shrinks, the more sunlight gets absorbed and heats the planet instead. It takes a while for the ice to melt, so the temperature will keep climbing for decades after the CO2 content is fixed.

There are other factors that play a role in the same manner. A lot of methane is trapped under the permafrost in many places, and methane is 25 times more potent as a greenhouse gas than CO2. This means that as the permafrost melts, more greenhouse gasses will be emitted to the atmosphere, with increasing temperatures to follow.