Only NYS can answer that. It might take a while, since someone there is likely manually looking at it. Per NYS:
We received your return and may require further review. This may result in your New York State return taking longer to process than your federal return. No further information is available at this time.
Once we receive your return and begin to process it, our automated processing system scans it for any errors or signs of fraud. Depending on the result of that scan, we may need to manually review it. This status may update to processing again, or you may receive a request for additional information. Your return may remain in this stage for an extended period of time to allow us to review. Once you return to the processing stage, your return may be selected for additional review before completing processing.
Check your refund status online 24/7! (ny.gov)
