Make sure your state return was accepted: https://turbotax.intuit.com/tax-tools/efile-status-lookup/
Federal and state refunds come from completely separate entities. You cannot expect them to arrive at the same time.
To track your state refund:
https://ttlc.intuit.com/questions/1899433-how-do-i-track-my-state-refund
If your NY return was rejected/never filed, then you have to print, sign and mail it now. E-filing is closed for 2018 returns.
https://www.tax.ny.gov/pit/file/return_assembly_mail.htm