Was Dream Ball Raichu + Egg Moves Possible?

Oh for clarity's sake... Here's the one and only dream ball capable Pikachu at the time: https://bulbapedia.bulbagarden.net/wiki/List_of_Pok%C3%A9mon_Global_Link_promotions/Pok%C3%A9mon#Pikachu Here's that endeavor Pikachu event: https://bulbapedia.bulbagarden.net/wiki/List_of_PAL_region_serial_code_event_Pok%C3%A9mon_distributions_in_Generation_VI#PGL_Pikachu Here's that other event Pikachu mentioned in this video (at 3:50): https://bulbapedia.bulbagarden.net/wiki/List_of_local_Japanese_event_Pok%C3%A9mon_distributions_in_Generation_V#Singing_Pikachu Here is that match that showcases that dream ball Raichu's egg moves: https://www.youtube.com/watch?v=dIz3AWAsxP0 Here are the 5th gen move tutors: https://bulbapedia.bulbagarden.net/wiki/Move_Tutor#Generation_V Here are the 6th gen move tutors: https://bulbapedia.bulbagarden.net/wiki/Move_Tutor#Generation_VI