Does oil heats produce Co2?

My oil furnace in my home is in the same area as my crop, and i read somewhere that oil furnaces produce co2, does anyone know if this is true? Not sure if the co2 gets releases ffrom the furnace itself or gets expelled through the chimney.

Oh Lord.

Don't go pulling your chimney apart. That is carbon monoxide, not dioxide. You will kill everyone in your home.