In the United States it is illegal to film puffins for commercial purposes (commercials, movies etc.). Puffins are protected under the Federal Migratory Bird Treaty Act which states, according to the USFWS Law Enforcement Division,

“Migratory birds (for a complete list, refer to 50 Code of Federal Regulation (CFR) Part 10) are protected by the Migratory Bird Treaty Act (MBTA). All native species of birds, with the exception of upland game species (chukar, pheasant, quail, grouse), introduced species (starlings, house or “english” sparrows, and feral pigeons) are protected by the MBTA.
Migratory birds, their parts, nests or eggs may not be possessed, transported, imported, exported, purchased, sold, bartered, or offered for purchase, sale or barter without appropriate permits.

[Use of birds for a movie] is not allowed in the United States, unless the film is produced for the purpose of wildlife conservation education (National Geographic or Discovery Channel films, for example). Commercial use of migratory birds is prohibited. This would include using birds in films produced for entertainment or commercials.”