Pat the chicken breast dry with paper towels and dice into bite-sized pieces, then season with sea salt and black pepper.
Heat the avocado oil in a large cast-iron skillet or wok over medium-high heat until shimmering.
Add the chicken to the skillet in a single layer and sear until golden brown and cooked through, approximately 5-6 minutes, then remove and set aside.
In the same skillet, add the diced carrots and sauté for 2-3 minutes before stirring in the frozen peas, minced garlic, and grated ginger until fragrant.
Add the cooked brown rice to the skillet, breaking up any clumps, and stir-fry with the vegetables for 3 minutes until the rice begins to crisp slightly.
Push the rice and vegetable mixture to one side of the skillet and crack the egg into the empty space, scrambling it quickly until just set.
Return the chicken to the pan and pour in the coconut aminos and toasted sesame oil, tossing everything together to coat evenly.
Garnish the skillet with thinly sliced green onions and serve immediately while hot.