No, the theoretical point of carbon capture is to take the carbon we released from the ground back into it. Ultimately, there is simply too much CO2 in the atmosphere at the moment. The long term goal has to be to permanently sequester it back into the ground - essentially reversing the last 100-200 years of burning fossil fuels, replacing everything we got from coal, oil, and gas with better alternatives so we can keep living a life that is at least as decent as today's.

It is impossible for human civilization as we know it to thrive longer term if we keep the current amount of CO2 (and thus carbon) in any way that is circulating.

Of course, capture can and should be the goal after we do the much much easier thing, which is not releasing even 1kg more of the already trapped carbon from the ground.