Federal and state refunds come from completely separate entities, There is no rule as to which one will come first or how much time there will be between their arrivals.
STATE RETURN
Make sure your state return was accepted: https://turbotax.intuit.com/tax-tools/efile-status-lookup/
To track your state refund:
https://ttlc.intuit.com/questions/1899433-how-do-i-track-my-state-refund
I know they come separate, but when I check for CA status, they can't even find it. It says can't find info about CA status also says need to wait 24hours after submitted, but this was sent on 2/8 and received on 2/9. Have email saying CA state was successfully received. I know CA state refunds usually come later but I thought it should atleast say tax return was received and reviewing or something.