No, but plants need CO2 to do photosynthesis. If atmospheric CO2 concentration falls significantly below 100 ppm, all plants doing C3 photosynthesis (that's pretty much all of the most useful plants, including pretty much all trees) start dying, and only the C4 plants remain.

This would end pretty much all higher life on land.

There are theories that earth was slowly moving towards this point naturally, as across the last 2 million years, CO2 concentration successively decreased with each passing glacial period. Maybe humans inventing fire saved everything!

Fire is primarily moderated by the available oxygen. The atmosphere is about 20% oxygen, 0.04% CO2, removing CO2 won't meaningfully impact the oxygen concentration