threegun, in your case, sounds like a short answer of "yes" is probably accurate.
I think most of the people who practice shooting fast multiples do so with double barrels, though I'm sure there are many who do so with pumps or autos.
And, of course, there are threegunners.
But I assume that any of those people wouldn't have asked if a shotgun would do the trick. I also assume that anybody who asks the question, is probably not proficient at fast multiples or reloading.