No, no chance - it's gonna be a pretty serious rain/wind storm for most of the area with 1-2" of rain and wind advisories likely for the coast, at least (and possibly some minor coastal flooding, although we'll have astronomical lower tides than normal, which will minimize that). Will likely only see more than 1-2" of snow/sleet in the Poconos and the Catskills (with 4-8" in the Poconos and 8-16" in the Catskills).
Even Sussex County is only forecast to get 1-2" on the front end through Thursday evening and other areas well NW of 95, like the Lehigh Valley, Warren, Morris, W. Passaic, etc, might get up to 1" of snow/sleet during the day on Thursday, so the Thursday pm commute could be tough in those NW areas before the changeover to all rain, probably by late afternoon/early evening.
For areas near the 95 corridor (even 10-20 miles NW of there), any snow/sleet will likely be short-lived during the late morning (early morning down by Philly) with maybe a coating to 1/2" possible before the warm air changes things over to rain for everyone near 95 (and the coast should be all rain).
One caveat to all this: the NWS snowfall forecast is on the low side relative to what the models are showing, as most of the models are showing 2-4"/3-6" for places like the Lehigh Valley, Sussex/Warren, NW Morris and NW Passaic (and the Hudson Valley N of the Tappan Zee) and even 1-3" for places like western Hunterdon and northern Somerset vs. the 1-2" or less forecast by the NWS, so there is the potential for this system to overperform. See the NBM (National Model Blend) based on the 12Z models today, which is the same thing the NWS forecasts were evaluating when they put out there snowfall forecast.