Yes.  With limitations:

-.45Colt/.410 chamber will shoot either a .45Colt, .410 Shotshell or a .45 Schofield.

-.357 Maximum will also shoot the .357 Magnum, .38 Special, and .357 Magnum CCI Shot Shell.

-.44 Special will also shoot .44 Russian.


Outside of those examples, it is not advisable to fire ammunition that is not specifically designated on the barrel.

There are too many variables such as chamber depth, tapering cartidges, and rimmed, semi-rimmed, and rimless cartidges (just to name a few) for the assumption to be made that a cartridge other than the one specifically stamped on the barrel will properly fire just because they are "the same caliber".

Do not try to use a .380ACP in a 9mm barrel.
Do not try to use a .40S&W in a 10mm barrel.
Do not try to use a .45ACP in a .45LC or a .45LC/.410 barrel.

Again:

Never use ammunition in a firearm other than what is specifically marked on the barrel.
Bond Arms does not take responsiblity for any damage cause by any individual who improperly loads a firearm with ammunition that is not specifically designed for that firearm.