Season the diced chicken breast evenly with the sea salt and black pepper.
Heat the toasted sesame oil in a large non-stick skillet or wok over medium-high heat until it begins to shimmer.
Add the chicken to the skillet and cook for 5 to 6 minutes, stirring occasionally, until the pieces are golden brown and cooked through.
Push the chicken to one side of the pan and add the diced carrots and frozen peas, sautéing for 3 minutes until the vegetables are tender.
Stir in the minced garlic and grated fresh ginger, cooking for just 30 seconds until the aromatics are fragrant.
Incorporate the cooked brown rice into the skillet, breaking up any clumps with a spatula, and toss thoroughly with the chicken and vegetables.
Create a small well in the center of the mixture, crack the egg into it, and scramble quickly until just set before folding it into the rice.
Drizzle the coconut aminos over the entire mixture and stir-fry for another 2 minutes to allow the rice to develop a slightly crispy texture.
Remove from heat, garnish with thinly sliced green onions, and serve immediately.