No do not file an amended state return if they didn't get your first one. Was your state return Accepted? Double check your efile status here
https://turbotax.intuit.com/tax-tools/efile-status-lookup
When you efile you get back 2 emails. The first email only confirms the transmission. The second email says if the IRS (or state) Accepted or Rejected your efile.
When you log into your account you should also see the status and if it was Accepted or Rejected, Started, Printed, Ready to Mail, etc. What does it say for state?
If it didn't go through you can try to efile it again or you will have to print and mail it. Did you efile federal? Was it Accepted? How to file state after federal
https://ttlc.intuit.com/community/e-file/help/how-do-i-e-file-my-state-after-i-already-filed-my-fede...
