Add sauce ingredients to a small bowl then stir to combine and set aside.
Add rice plus 2-3/4 cup water to a small saucepan then turn heat to high to bring to a simmer. Place a lid on top, turn heat down to low, then simmer until rice is tender and water is absorbed, 12-15 minutes. Remove pan from heat then let sit covered for 3 minutes. Remove lid, fluff rice, then scoop onto a plate to cool and set aside. Can be done a day ahead of time.
Fill a large wok 3/4 of the way full with water then bring to a boil. Add kale then simmer until tender but not mushy, 4-5 minutes. Drain then squeeze kale very dry with hands once cool enough to handle. Crumble kale into a bowl then set aside.
Place wok back over high heat then, making sure there are no droplets of water inside, add oil. Once oil is very hot, add chicken thighs then spread into an even layer and let sear until golden brown on the bottoms, 2 minutes. Add a drizzle of gluten-free Tamari (or soy sauce if using), a dash of white pepper, and shallots then continue to saute until chicken is cooked through, 2-3 more minutes. Add garlic then saute, stirring constantly, until garlic is very fragrant, 30 seconds to 1 minute - be careful to not burn the garlic!
Add crumbled kale to the wok then toss to combine. Add cooked rice then toss to combine. Drizzle in sauce then turn off heat and toss to combine. Scoop Fried Rice into bowls then top with toasted sesame seeds and serve.