Yes but here on the western south shore (and also in urbanized areas like the city) it's hard to get accumulation in March. The truly big storms happen in December over March around here (although it hasn't happened since 2010, but where I live we haven't had a double digit March storm since 1993, and that changed to rain.) In either case, the shorter days and lower sun angle give December a much more wintry feel, when those storms do happen.
This seems to be a cyclic pattern in terms of when December/March trade places for snowfall; in the 1950s we had this pattern too. Then we switched in the 1960s. It seems to go decade by decade, as it was snowier in December in the 40s, snowier in March in the 50s (March was the snowiest month overall that decade), and back to being snowier again in December during the 60s.