State
Yes. If you meet the other qualifications. If you participate in DACA and have a valid SSN, you can use that number to claim any of these credits. If you have not applied for a SSN, but have an ITIN, you can use an ITIN to claim the California state tax credits.
Federal
Yes. If you meet the other qualifications. If you participate in DACA and have a valid SSN, you can use that number to claim these credits.