Dice the chicken breast into small, uniform bite-sized pieces and season evenly with sea salt and black pepper.
Heat the sesame oil in a large non-stick skillet or wok over medium-high heat until shimmering.
Add the seasoned chicken to the pan and cook, stirring occasionally, until golden brown and fully cooked through, about 5 to 6 minutes.
Push the cooked chicken to one side of the pan and crack the egg into the empty space, scrambling it quickly until just set.
Incorporate the diced carrots and frozen peas into the mixture, sautéing for 2 to 3 minutes until the vegetables are tender-crisp.
Add the minced garlic and grated ginger to the center of the pan, cooking for 30 seconds until the aroma is released.
Fold in the cooked brown rice and drizzle with coconut aminos, tossing everything together and pressing the rice against the pan for 2 minutes to achieve a slight crisp.
Garnish the dish with thinly sliced green onions and sesame seeds before serving hot.