No. For several reasons, no.
1- The Remington 1100 is a gas-operated semiauto, and the gas ports that operate the action are inside the barrel lug.
2- The barrel lug on the 1100 and the 870 are different shapes, and the 870 barrel will not fit under the 1100's handguard.
3- Finally, and most importantly, the barrel extensions are slightly different shapes.