No that is not normal ... are you sure you successfully efiled it ? If yes then contact your state to see what is happening ...
If you efiled, does the state return status show up in this tool?
https://shop.turbotax.intuit.com/efile/efile_status_lookup.jsp
If it was accepted, then here's how to track the state refund:
https://ttlc.intuit.com/questions/1899433-how-do-i-track-my-state-refund
