Get all your ingredients prepped by chopping the vegetables and measuring the sauces and seasonings to make cooking easier.
Warm 1 tablespoon of vegetable oil in a large skillet or wok over medium-high heat, then add the ground chicken, breaking it apart while cooking until it turns no longer pink and gains some color, about 5 to 7 minutes.
Slide the cooked chicken to one side of the pan and add the remaining oil if necessary; add the diced onions and carrots next, cooking them until they soften slightly, around 2 to 3 minutes.
Create a space in the pan and pour in the beaten eggs, stirring constantly to scramble, cooking fully within 1 to 2 minutes before mixing the eggs with the meat and veggies.
Add the day-old rice, breaking up any chunks, then stir-fry everything together for 3 to 4 minutes so the rice absorbs flavors and gets a bit crispy.
Pour in the soy sauce and sesame oil, stir in the frozen peas, and cook all together for another 2 to 3 minutes until heated through and well combined.
Finish by sprinkling white pepper over the fried rice and garnish with thinly sliced green onions before transferring to plates and serving.