It's possible for it to snow in New York on Christmas. The weather in New York can vary greatly, so while it may be warm and sunny on Christmas some years, other years it may be cold and snowy. In recent years, there has been some snowfall on Christmas Day, so it's always a possibility. However, since there is no way to predict the exact weather on any given day, it's best to keep an eye on the forecast and be prepared for any possibility.