I don't have allergies to worry about when ordering, but yes! I noticed you scroll down & you'll see gluten free, dairy free, maybe others listed. I recommend any one needing to see this, you do not need to be in the parks or complete an order to see mobile ordering menus. The only thing you have to watch is that when you look on the app, the restaurant has to be open, so watch timing & time zone changes.
Looking on the app is the best way to see the current list of participating locations, when they make updates like using DP or paying with gift cards, and updates to menus like allergy options.