The events of Destiny take place after the travelers battle with the darkness so to have something before that would involve no magic/powers and no aliens to fight since the alien races also showed up after the travelervsdarkness so I don't know what that would leave for a game unless we are just standing by witnessing the fight
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He meant initially right before the actual start of the game. Say during the time the Guardians contained the Hive on the Moon.