No.
The fact that the home is in a different state would have no bearing on what interest can be claimed.
The amount of interest claimed may be limited on the federal return, but I don't see any limit for the New York return.
For the federal return, it must be your primary residence or a second home and the loan must be secured by the property.
The interest may also be limited depending on the balance of your mortgage.
New York does not limit the interest relating to your mortgage balance.
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