My state refund has not come in, and I cannot track/verify it on the NY state website. Is it possible they didn't accept it or there was an error?

First, verify that your state return have been filed and accepted. 

Check your E-File Status on this Secure TurboTax website using only your social security number and zip code: https://turbotax.intuit.com/efile/efile_status_lookup.jsp. 

It will show you:

• both your Federal and State (they will be listed separately if you filed both)
• if it/they were accepted or rejected
• your electronic filing date

If this resource indicates that you did file your state return, TurboTax will have no further information as the State processes it. They are usually the best reference for what is going on with a return after it has been filed. If there is an issue with your state tax returns you will usually receive a letter in the mail.

Some states have delayed issuing refunds. See the FAQ below to determine if your state is one of these and what they have said about processing times:  https://ttlc.intuit.com/questions/2947227-which-states-are-anticipating-refund-delays-for-2015-returns

You can locate your state site and contact information through the FAQ below, just click on your state:

https://ttlc.intuit.com/replies/3302452