We've already been doing it for 50 years, and the pinnacle of achievement in the field is a facility being built in Texas that is planning to sequester 500,000 tons of CO2 annually.
The world produces over 38 billion tons of CO2 a year. Assuming they reach their target performance, we would need 38bn/500k=76,000 of these facilities just to offset our current emissions.
The number of "power generating facilities" in the entire world, for reference, is about 30,000. So we would need more than twice as many capture plants as we currently have power plants. And of course they all need power, ways to actually get rid of the carbon they're collecting, chemicals etc.
So sure, if you want to live in a dream world where we magically just invent a 1000x better way to do it it's totally feasible. And while we're at it I'm sure we'll just make a 1000x more efficient combustion engine and a 1000x more effective dynamo and 1000x more effective ways to grow food and 1000x more effective solar panels, desalination etc. The next 50 years will totally revolutionize all these technologies we've already close to perfected, surely.
In case it wasn't clear that's sarcasm. Nobody is expecting to significantly improve any of these things because we are already closing in on hard physical limits that can't just be technologied away. A 1.2x improvement in any of them would be staggering, and even that is unrealistic for most if not all of the random technologies i mentioned.
Furthermore, 50 years is way too late. In 50 years we will be at like +3-4C or beyond. If things haven't already completely gone to shit at that point I can guarantee you there will be chaos and much more to come. They will have more pressing concerns than building 70,000 carbon capture facilities.
I'm not having kids, I hope my corner of the world stays relatively stable until I'm gone and I pity the people who have to live beyond that.