Since when Company of Heroes is about realism? It's a Hollywood popcorn game, there's so many unrealistic things in that game with superman infantry and weird abilities. So no, with some imagination you can do something while still have some credibility.
I hate it when people bring this up. Just because the game is arcade-y does not mean it can't be realistic in the units that are available to you. I personally like it when a game isn't uber realistic where tanks die in one hit, but it does provide you with units that were actually available at that moment.