No. The state and Federal refunds come from 2 different taxing agencies. There's no way to know which one comes first. Sometimes the state comes before the Federal, and vice versa. Some states can take a long time. Your state website may have a FAQ telling about how long it takes in your state. You can go there and monitor your state refund using this FAQ:
FAQ: How do I track my state refund?
https://ttlc.intuit.com/turbotax-support/en-us/help-article/tax-refund/track-state-refund/L3jgO8PGs_...
