Well, if you use the appropriate bushing/fitting at the end of the armor, yes.

You can NOT make up your old cable by pulling new conductors into armor you stripped off other cable.

Unless you're some place that requires it specifically, there's no reason to use armored cable here. NM would work fine.

If you are mounting the fixtures parallel to your ceiling joists you could try to fish a NM cable up inside your ceilings drywall from fixture to fixture.

It's tough to do if you have not tried this before but it would look much cleaner than having bx run across the face of your ceiling,especially in your front room.
Just another thought.