In the late 50's-early 60's, when everybody thought they had to moldboard plow, some BTO's (probably farmed close to a thousand acres back then, considered big time) often used the new articulated tractors to plow down snow.  The worked in frozen ground, had enough horses to do that at the time.

We often sowed clover on wheat when snow was on in those days, had good luck except when snow would change to ice instead of melting.

1954 here was and still is known as the winter you could plow every month of they year.  I know on February 9, 1954 my parents were plowing next to the house.

A local machinery dealer harvested turnip seed in the spring of 1955, the only year I ever heard of that done in our area.  I learned then it takes two seasons to raise turnip seeds, and winter will kill it if it gets too cold.

So, planting in snow depends on when and where, and what weather follows.  Odds here are not good for most crops.