PokéBase - Pokémon Q&A
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>Players are able to receive gifts wirelessly, from the Nintendo Wi-Fi Connection or from a friend. The Mystery Gift feature will only allow a specific gift to be received once. As a result, a player can only get one of each item and Pokémon from the said games and also only one of Pokémon from the Events.

Source: Bulbapedia & Personal Experience

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Nope, you can't.
I've tried, like a million times.
Sorry

Hope This Helped :D
__

D®.F!@me

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