I believe you can - yes. I think the main difference with the "Cake" is the food safe hardware. I think alot of women use it for paper crafting. Probably the recommendation would be to not use it for food materials after it has been used with paper. Honestly though, I think if you cleaned off your cutting blade and rollers etc.... you could use it either way.
Just remember, the mat that comes with your cake is NOT the same mat to use with paper. You need the sticky mat for that. The cake mat is smooth.
A good dog, a sewing machine, and an old guitar......