Could the Jersey Shore really see some snow next week? It’s possible, but it won’t stick around for long. The National Weather Service is watching for the possibility of a storm that could impact our region Tuesday night through Thursday next week. The storm may begin as snow on Tuesday night with very cold temperatures for this time of year, but is followed by warmer temperatures with rain and thunderstorms. Currently there is a 60 percent chance of snow in the forecast for next Tuesday night.