As far as I know yes they will interchange, you should be able to put a 1300 3" barrel on a 2 3/4" gun but you won't be able to feed 3" shells thru it, just 2 3/4' shells.
http://www.gunbroker.com/Auction/Vie...Item=150662135
Remington 870 is the same way, I have an old 2 3/4" gun but the newer 3" chambered barrels will fit, just won't feed 3" shells.