In theory, it is possible to recycle carbon fiber. I think that may be pretty energy intensive, as I think you need to separate the resin from the actual fibers. Obviously, if you put your damaged frame in the curbside recycling, the trash collectors are probably going to laugh at you, or cry, and throw it into the trash, and perhaps write you a ticket. There may be some specialized companies that recycle carbon fiber, though. I came across a story about Alchemy Bicycles and their partnership with a carbon recycler.
https://outdoorindustry.org/...t-about-carbon-fiber An interesting tidbit from the article: we obviously want to think about recycling bike frames and parts after they’ve been irreparably damaged. However, another issue is recycling manufacturing scraps from the factory floor. Right now, this isn’t done at all.