Riveting into carbon seems to be done fairly often however, based on my experience, I would only do so as a last option. I have found that pop rivets are not a prefered method of attaching fittings to carbon fiber unless you are able to put a backing plate on the underside of the rivet. When you use a rivet, it point loads the piece and basically tries to split open the hole in the carbon piece. I have had fittings pull out that were riveted in to carbon. If you are unable to use a backing plate, I would consider through bolting (with a compression sleeve if possible). Otherwise, reinforce the area to be riveted with additional carbon before riveting if necessary.
sm