If so, how would the entry animation for them work?
No, they cannot be Shiny, likely due to the fact the Pokemon were based on Pokemon he used in the original Pokemon Black and White 2, which were not Shiny.
Source: Bulbapedia's page on N's Pokemon.
How to change your username
How to add a user avatar
Why was my post hidden?
Flags vs Downvotes
Official PokemonDb League
Type a Pokemon name, type, move or ability to see instant results.