Get all your ingredients prepped by chopping vegetables and measuring seasonings before starting.
Warm one tablespoon of vegetable oil in a wok or large skillet over medium-high heat then add ground chicken, breaking it up frequently, until cooked through and lightly browned, about 5 to 7 minutes.
Shift the cooked chicken to one side, add the remaining oil on the other side, then toss in the diced onions and carrots. Cook for 2 to 3 minutes until they soften slightly.
Make space in the pan and pour in the beaten eggs. Stir constantly to scramble until fully cooked, about 1 to 2 minutes, then combine with the chicken and veggies.
Add the cold cooked rice, breaking up any clumps, and stir-fry everything together for 3 to 4 minutes to blend the flavors and get a slight crisp.
Pour in the soy sauce and sesame oil, stir in the frozen peas, then cook everything for an additional 2 to 3 minutes until heated through.
Finish by sprinkling white pepper over the rice and garnish with sliced green onions before serving.