Assuming it is the accredited one then yes (you did not provide a link). From Wikipedia: The university is accredited by the Western Association of Schools and Colleges(WSCUC), Distance Education Accrediting Commission (DEAC), and Accreditation Council for Business Schools and Programs(ACBSP). It is also approved by California's Bureau for Private Postsecondary Education(BPPE).[8]
Interestingly, Westcliff University acquired the Western State College of Law from Argosy University.
I thought they withdrew DEAC after they achieved WSCUC accreditation. Their DBA is interesting because it has specialization in Technology, but not other sector like Finances, Management, Leadership, and etc.