HRRR continues to show a band of snow showers for Long Island right after the Arctic air arrives:

This video goes from 1 PM tomorrow to 1 PM Saturday, and you can see it showing a band of snow traverse Long Island between 4 PM and 7 PM tomorrow, but it doesn't mean it will definitely occur. After that, the Ocean Effect and Sound Effect snow streamers continue with the WSW wind, and they have the POTENTIAL to produce accumulating snow from SE CT, southern RI, and out towards Block Island, Martha's Vineyard, Nantucket, and the Cape, and even possibly eastern Long Island, depending on the exact wind direction.