Slim to none for Ohana and Storybook. Be our Guest is the one I see pop up frequently whenever I check the app for last minute dining reservations (though it's for weird times like 4:30 or 9 pm)
You will most likely be able to grab Jungle Skipper (more adventurous menu), Whispering Canyon at Wilderness Lodge (food is fine but the antics are a lot of fun), maybe Liberty Tree Tavern (good option for picky eaters)