Yes, but that's neither geological scale times, nor something nature does. I can make a forest sequester carbon if I dig big holes and bury trees in them, but that's not a particularly natural process either.
Left alone, nature's cycles are mostly carbon neutral.
No, you can get it to sequester carbon if you plant trees (or other plant matter), harvest it, convert it to charcoal, then spread that around. Apparently in that form (biochar) it stays sequestered for a few thousand years: https://en.wikipedia.org/wiki/Biochar