Yes. Both Jedi and Sith do. To be fair, the kyber crystals usually agree to such a process. If they didn’t, they might not ever work properly in a lightsaber at all. Jedi treat their crystals with more kindness and respect, hence the colors of their lightsabers being blue, green, and the like. Sith, unfortunately…...we make our crystals bleed.

[And yes, that vague description really is as horrific as it sounds.]