Official rules do not support it. Sideboards are an optional addition, so there has to be a special agreement with the playgroup/TO to use them. In general, wishes are not usable in EDH.
June 6, 2018 4:26 a.m.
Rule 13 of commander (found at http://mtgcommander.net/rules.php):
Abilities which refer to other cards owned outside the game (Wishes, Spawnsire, Research, Ring of Ma'ruf) do not function in Commander without prior agreement on their scope from the playgroup.
In a tournament setting this means that the scope of Burning Wish will be determined by the Tournament Organizer, and should be assumed not to function unless they state otherwise.