Largely no for two reasons. 1st, most of WWI fighting occured in the Western regions of Russia and, due to Gulf Stream's influence, they enjoy much more moderate weather. 2nd, unlike Napoleon and Hitler, WWI Germans not only had railway-based supply system (eliminating need to forage) but also knew how to use it and prepared for winter in advance. Generally winter was a slow time during WWI, although Russians and Austrians managed to organize several impressive winter battles in Carpathians.
They didn't get far into Russia, so it was not much of a factor, also most of the advances into Russia during World War 1 were because of the treaty of Brevst-Litvosk.
They didn't get far into Russia, so it was not much of a factor, also most of the advances into Russia during World War 1 were because of the treaty of Brevst-Litvosk.
Actually, most people are surprised to hear that in WW1, Germany advanced into Russia almost as far as they did twenty years later in WW2.
Map is weird in it's scale and naming (Rumania, Livonia, where the Hell did they get those names?), but it gives you good idea. Russian Empire largely fought WWI on territories West of USSR border. Germans gained Ukraine, Belarus and Baltics (isn't it ironic that West is currently trying to integrate the very same territories in it's military alliance, and is it really wonder that Russians are not feeling great about it) when Russian army ceased to exist as coherent fighting force after Revolution.