No, if your wages are taxed 100% by NY, you would not need to have NJ taxes withheld. You would get a credit on your NJ return for taxes paid to NY.
You would have to speak to your employer. If for some reason they have you working in the NJ office when you are working remotely within the state however, since your actual physical location takes you to the NY office, it would seem as though your primary work location would be NY, not NJ.
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