No. In fact, there are stiff fines for riding your snowmobile on the street. Rhode Island does allow snowmobile operators to cross the street from one piece of land to another. You may also operate your snowmobile on the street if the roads have been deemed impassable by other vehicles due to inclement weather. No one under 16 may do either of the aforementioned.
Check out these Prudence Island, RI ATV/OHV resources: