no, the issue is the mud and crap builds up quickly under the brake arch and brings the bike to a halt. You need big tires and they won't fit on that bike. It's a road bike with a few tweaks, but it would be silly to try and race cross on it. Cross is a real equipment wrecker sport, no need to get some nice bike like that out on the pitch.
Who the heck needs a special bike to bomb down dirt roads? Any old road bike is fine for that stuff. They come up with the goofiest crap to market to people.