Yes, it CAN. There are some accepted substitutions, where the differences, if any, are negligible enough to be consider a non-starter - Win 209 and NobelSport comes to mind. Federal primers and any of the magnum ones are definitely NOT interchangeable. While shotguns do operate at a lower pressure, the guns are not built for rifle-size pressures either. Different hulls cause issues, as does powder and wads. The only component that doesn't matter is the shot.
12 gauge pressure typically run about 11,000 or less, while the smaller bores can run a little hotter - I'm talking MAX pressures. Target shooters like pressures between 8 and 10 K psi