Not with a single division, but the trained or even elite divisions from the germans will certainly shred through your untrained horde. You will burn through your manpower really fast and will be on the retreat most of the time anyway. Keep in mind that battles have an combat width and that you cant exceed that. So even if you have 10 times the divisions on the front your enemy has, that wont get you anywhere and just delay the innevitable.
In WWW you can actually see that germany had no problem chewing through the unprepared poorly equipped soviet divisions and that they had over 4 times the losses the germans got in that war and the german divisions didnt even had arty or anti-tank guns at their disposal, let alone air support because daniel doesnt seem to care much about that or simply forgot that, either.
Smaller, well trained, professional divisions will always be the best choice. Throwing everything you have left against the enemy is basicly just an desperate last stand.