Yup!
I have reloaded steel pistol cases before, at least until I realized they were nickel plated steel and not nickel plated brass. It worked fine, no issues whatsoever; I didn't even know until I set one down next to a fridge magnet on the counter.
As to loading actual nickel plated brass, yes yes and more yes. The nickel seems to reduce friction with the dies, makes it even easier than brass. I have some .38 special cases that are older than I am and have been reloaded I don't know how many zillion times, the finish is starting to wear through in places but no cracking or peeling. The necks split long before the nickel does, at least if the plating was done properly. I'm not sure how well that translates into rifle cases, but I suspect it's pretty much the same deal. Perhaps you'll get issues down towards the head but I doubt it.