As long as one is a legal gun owner, yes. 1 shou[ld be able to carry a gun anytime and anywhere without the government telling them they cannot. Private property owners can do as they wish.
As long as one is a "legal" gun owner. So, there are... laws regulating gun ownership?
As you can see, everyone here, probably acknowledges that there should be laws regarding gun ownership!
So, it's not really an issue of a literal interpretation of the 2A, just a difference in opinion regarding the laws of gun ownership. I wonder, then, why it is, when my opinion on the nature of laws regarding gun ownership differs from others, people tell me "shall not be infringed" or "you don't support the 2A" and in essence, "why are you on this forum"?
EDIT: 2A is "keep" and "bear". If laws can be made for "keep", why not "bear"? Also, what happens if you're in the military and then you tell the armorer that your 2A allows you to carry any gun you want, not the ones they wish to issue you?