Dice the chicken breast into small, bite-sized pieces and season with sea salt and black pepper.
Heat half of the sesame oil in a large non-stick skillet or wok over medium-high heat.
Add the chicken to the skillet and sauté until golden brown and cooked through, about 5-6 minutes.
Stir in the minced garlic and the white parts of the sliced scallions, cooking for 1 minute until fragrant.
Add the chopped kimchi and gochujang to the pan, stirring constantly to coat the chicken and aromatics.
Add the cooked brown rice and tamari to the skillet, breaking up any clumps and pressing the rice down to allow it to crisp for 2-3 minutes.
While the rice crisps, heat the remaining sesame oil in a separate small non-stick pan over medium heat.
Crack the eggs into the small pan and fry until the whites are opaque and edges are crispy, but the yolks are still runny.
Divide the kimchi fried rice into bowls, top each with a fried egg, and garnish with the remaining green parts of the scallions.