I'm not familiar with either unit, but you need to know the weight of the Canyon, and the rated towing capacities of your Greyhawk. Looking at the web, the typical class C coaches like your Greyhawk often are rated for a max 5,000 lbs tow (sometimes less), so probably wouldn't be able to handle a full size pickup, which is usually 6,000 or more.
The Canyon has to be a 4WD drive model. If the Greyhawk is rated to tow 5000 lbs, it could tow a Canyon (or it's Chevy Colorado twin sister). If the Greyhawk is limited to 4000 lbs, then no to towing it.