It is not a meteorological impossiblilty, as the 6z GEFS has demonstrated.
As you discussed earlier, something well timed on a trailing front with a previous cutter acting as a temporary 50-50 could get it done in a bad pattern, with a ton of luck. The EPS snowfall map over the next 15 days says it all wrt to the general location of the boundary, and is what you would expect. Places like NY state and northern half of NE can do pretty well in an overall crap pattern. We envy their climo, but we live with ours lol. At our latitude(esp mine), we watch and wait.