I doubt the NHL would rig the lottery, knowing there's a representative of each team present when they spin the balls. But Gary Bettman is desperate to keep the Yotes in AZ for whatever reason. He purposely set the Draft before the election, so that even if they don't get Bedard, they could use any elite prospect to try to convince voters to approve the deal.
It's not completely out of the realm of possibility that he could rig the lottery. But realistically, I believe it's unlikely that he would do that.