I can on my grill to avoid overloading the house.That's why I'm looking into it, more for calorie storage without (ongoing) energy requirements. I am OK with the food not being perfect, but being able to buy 50 pounds of chicken when it's $2/pound at target this weekend and batch cooking it into soup, pulled chicken, chicken bbq, etc, and then storing it in the pantry sounds awesome. Would not be as good as a fresh chicken on the grill but would damn sure fill out that 20 year old mylar packed rice and bean pile.
The secret to making canned food taste "real" is being able to doctor it when you use it. You'd be surprised how many chefs used canned spaghetti sauce., and every pizza you have ever eaten had canned sauce on it.
if you can BBQ, try not to use tomato, add it later, Tomato and other acid food degrade meat over time. IMO your better off canning the chicken, and canning the sauce separately and marrying them later.