Double-barreled shotguns chambered for the .410 bore shotshell are indeed manufactured and available. These firearms typically feature two barrels mounted side-by-side, though over/under configurations also exist. They are commonly used for recreational shooting, hunting small game, and pest control.
The compact size and relatively light recoil of the .410 bore make double-barreled shotguns in this gauge a popular choice for novice shooters and those seeking a manageable firearm for close-range applications. Historically, the .410 bore has been favored for hunting small game such as rabbits and squirrels, and its manageable recoil contributes to its continued popularity in contemporary use. This combination of characteristics has cemented its place within the broader firearms landscape.