Forests around the world are estimated to absorb about 7.6 billion metric tons, acting as a net carbon sink of roughly 1.5 times the annual emissions from the entire United States.
Trees are great but are not a permanent store of CO2. When they die due to drought, flood, heat stress, disease, bark beetle, old age, etc., they release their CO2 back to the atmosphere. The fossil fuels we burn were stored underground for 100 million years so we need to store captured CO2 for a long time.
That wouldn't work since not only do you need to capture the CO2, you also need to sequester it and that's not practical on a vehicle. But the good news is that capturing CO2 anywhere in the world is effective. No need to capture it in a particular place or on a moving vehicle.