>Due to this, it can legitimately have any move in the Pokémon games except for Chatter, and it can pass on any Egg move to Pokémon in the Field Egg Group.
So, it could, however Vulpix cannot learn Energy Ball as an egg move. So, really, it can't happen. But it could work if it did know Energy Ball as an egg move.
It only learns Energy Ball as a TM in Generation V. Sorry.
Hope I helped. :)
Source: Smeargle's and Vulpix's Bulbapedia page.