It's not possible to forecast the date of the first snowfall very far in advance for a given year. But weather records do make it possible to predict the chances of receiving snowfall on or before a given date.
Shaw, R. H.
"When Will It Snow in the Fall?,"
Iowa Farm Science: Vol. 13
, Article 4.
Available at: https://lib.dr.iastate.edu/farmscience/vol13/iss5/4