Dice the chicken breast into half-inch pieces and season with the sea salt and black pepper.
Heat a large non-stick skillet or wok over medium-high heat and add the toasted sesame oil, swirling to coat the surface.
Add the chicken to the pan and sauté until golden brown and cooked through, approximately 5 to 6 minutes.
Push the chicken to the outer edges of the pan, crack the egg into the center, and scramble quickly until just set.
Add the diced carrots, frozen peas, minced garlic, and grated ginger to the pan, sautéing for 2 minutes until the vegetables are tender-crisp and fragrant.
Fold in the cooked brown rice and pour the coconut aminos over the mixture, tossing constantly for 2 minutes until the rice is heated through and well-coated.
Remove from heat, garnish with the sliced green onions, and serve the fried rice immediately in a deep bowl.