In a large non-stick skillet or wok, heat 1 tablespoon of vegetable oil over medium-high heat. Add the chicken and cook until no longer pink, about 5-6 minutes.
Drizzle the soy sauce and sesame oil over the rice. Add the peas and carrots, cooked chicken, and scrambled eggs. Stir everything together and cook for another 2-3 minutes until heated through.