Place the eggs in a small bowl, season with salt and pepper, and whisk with a fork until broken up with no streaks of egg white.
Pat the shrimp dry with paper towels, then season lightly with salt and pepper.
Heat 1 tablespoon of the sesame oil in a large wok or heavy skillet over medium-high heat until simmering.
Add the shrimp and sear undisturbed until browned on the bottom, 2 to 3 minutes.
Flip shrimp and immediately add the scallion whites, garlic, and ginger, and stir-fry until the shrimp are opaque and pink, 30 seconds more.
Push the shrimp mixture to the perimeter of the pan, exposing the center.
Drizzle the open space with 2 tablespoons of the sesame oil and let heat for a few seconds. Add the rice and peas, drizzle with the soy sauce, and stir-fry until the rice is heated through, 2 to 3 minutes.
Push the rice and pea mixture to the perimeter of the pan along with the shrimp mixture, exposing the center.
Drizzle the open space with the remaining 1 teaspoon oil, add the eggs, and cook, stirring occasionally with a rubber spatula, until almost set, 1 to 2 minutes.
Once the eggs are softly cooked, remove the pan from heat and stir all the ingredients together. Top with chopped green scallions.
Taste and season with salt and pepper as needed.
Enjoy!