Helping Hand is the one move that can outprioritize Protect, being +5 to Protect's +4. Obviously, it doesn't care about the presence or absence of Protect anyway, but hey. There's also Pursuit, perhaps in a doubles match where one opponent uses Protect and the other switches: Pursuit will automatically be redirected to hit the switcher, and go before Protect.
Other moves in the +4 bracket also match Protect and use speed order as the tiebreaker (but none of these deal damage); it's also possible for the status moves in +3 (i.e. not Fake Out) to "jump" a single bracket and pull into a tie with the +4 moves but only if the user has Prankster (Klefki using Crafty Shield or Meowstic using Quick Guard). Nothing in +2 or lower, such as Extreme Speed, can ever bridge the gap to go before a +4 move like Protect.