No, nor’easters can be rain. Believe me, when I had my condo at the Jersey Shore, we had dozens of nor’easters, where the rain poured sideways and the wind howled like a banshee. We lived on the north side of the building and it was something to experience!
That’s true, we’ve had them here on Long Island as well. But to us, a nor’easter only occurs in winter, with snow.