Yes.  As long as you follow California (and any local) eviction laws, you can evict a Section 8 tenant, as you would any other tenant, for non-payment of rent or other serious or repeated lease violation.  You must also advise the Housing Authority (HACA) at the beginning of the eviction process by submitting a copy of the initial notice.

Only you can evict a Section 8 tenant. HACA is not permitted to do so.