September 1939 is possible, but it will be a purely French affair, with the British Army nowhere near the numbers required. The Luftwaffe and the Panzers were concentrated in the East, and there was a rapid redeployment to the West even before Warsaw fell. The West Wall was a defensive system mostly on paper then.
Spring 1940 the British are stronger but the Germans are too, and their command is more suited to mobile warfare than Gamelin & Co.
1941 the Allies would have sufficient advantages to press an attack, but whether they had the tactical nous for a modern game by then is a doubt.