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I don't see any way they could interchange. The '57 grill is 72" wide. I don't have a '56 to compare but I don't think they are near that wide.
It might be possible to narrow a '57 grill and make it fit but the '57 grill is more squarish around the headlights and might not look right with the shape of the front of a '56.
I'm not sure what 56 and 57 grille you are looking at but to my eye they are nothing alike. 56 sits within the boundaries of the fenders and the 57 fits flush to the outer edges of the fenders.
Rezvani's Latest Post-Apocalytic Monster Is a Ford F-150 Raptor Underneath
Slideshow: Called the Fortress, the 850-horsepower pickup combines Raptor underpinnings with military-inspired features, survival equipment, and a starting price of $285,000.