Yes, it is reasonably easy to dismantle your drum carder for cleaning. Just remove the handle and 4 screws securing the right hand side to the tray and back rail. Then slide the side off and clean the bearings on the right hand side. The left side can be moved sufficiently to get in with a hook to catch the tangled fibres. If it’s bad, then I suggest a complete disassembly. Hammer the tension pins out of the shafts. Then the carder will come completely apart. Take care to note how to reassemble it and the direction of the card wire teeth where they touch.