Cautiously, an add-on to my previous comment:
There are a few other schools that do not generally interview, but that have made an exception. In some of those cases, GradCafe users reported that after an informal discussion via phone they received an admissions offer within the following few hours. Since we don't more data regarding NYU's interview practices, we might be cautious optimistic that that will be their modus operandi after talking with you. That'd be nice, no?