'Specifically, employers must withhold NYS income tax from all wages paid to NYS residents, regardless of where services are performed. However, for nonresidents, only wages paid for services performed within NYS are subject to withholding tax."
This does not remain this way if you own a business or property in NYS.
<a rel="nofollow" target="_blank" href="
https://www.tax.ny.gov/bus/wt/whtax_require.htm">https://www.tax.ny.gov/bus/wt/whtax_require.htm</a>
That said, if you chose to move for your own convenience of if that office outside NYS is not a real office, then yes you may have to pay NYS taxes.
NYS has a “telecommuter rule” which is worth looking into.
