There are various companies/projects set up around that idea:

https://www.lithoscarbon.com/

https://en.wikipedia.org/wiki/Carbfix

https://co2crc.com.au/

https://sgeas.unimelb.edu.au/research/carbon-trap-lab

The Lithos Carbon idea is interesting. The mine they show looks like they can just scrape it rather than needing to mine it with explosives. Unfortunately the site's blog has 1 post and it is 3.5 years old. Is it still a going concern?