Heat a large nonstick skillet or wok over medium-high heat and add 1 tablespoon oil.
Pour in beaten eggs, swirl to make a thin omelet, cook until just set, then remove and slice into strips.
Add remaining oil to the hot pan; if using garlic/ginger, sauté briefly until fragrant.
Toss in diced carrot and cook 2–3 minutes until slightly tender.
Add peas and the white parts of the scallions; stir for 30–60 seconds.
Increase heat to high, add chilled rice, breaking up any clumps with a spatula.
Stir-fry the rice for 2–3 minutes until heated through and grains separate.
Return the egg strips to the pan and mix evenly into the rice.
Drizzle soy sauce around the pan and toss quickly so it coats evenly.
Season with sesame oil, salt and pepper to taste, then fold in green scallion tops and serve immediately.