Not this again. (I've seen this before/been asked this before somewhere.) It's not a distribution rom. The person in the video used a hacked Mystic Ticket event.
Between Gen 3 to Gen 5, wonder cards actually have a feature, that allows you to share a wonder card with another friend via local wireless, provided the card you received from the event had sharing turned on.
However, if I'm not mistaken, this feature ended up being unused across the generations, because every wonder card distributed had the sharing feature off.
Here's what the option looks like in English, with a hacked card I made, compared to the selection on his/her screen:
edit: Various wonder card editors implement the feature
In any case, for Gen 3, we got sharable wonder cards, that would result players receiving a legal non-sharable copy, and can be found here.
Hope all of this answers your question