I know at least four who started at a CC, transferred to a UC or CSU for CS, and subsequently went to work in a CS type job. It might not be the optimal route (due to the course articulation issues), but it is not an impossible one either.
Not all CC students are aiming for the transfer route. Some take courses for an associates degree or certificate in some area where that (not a bachelor’s degree) is the required credential, and others take courses for personal development (e.g. learning a foreign language).