 No they don't, though a wrapping does help to keep the rice together. Again see Onigiri on parade. If you want to go wrapping-less but your onigiri falls apart before you can eat it, try transporting them wrapped in plastic wrap. You can even buy special cute onigiri wrapping film!  No they don't, though a wrapping does help to keep the rice together. Again see Onigiri on parade. If you want to go wrapping-less but your onigiri falls apart before you can eat it, try transporting them wrapped in plastic wrap. You can even buy special cute onigiri wrapping film! 