Cook the rice according to the package directions. Meanwhile, in a small bowl, combine the soy sauce, sugar, vinegar, and ginger.
Heat the oil in a large nonstick skillet over medium-high heat. Add the carrots and cook, stirring, for 2 minutes.
Add the snow peas, bean sprouts, and 3 tablespoons of the soy sauce mixture. Cook, stirring, until slightly tender, 2 to 3 minutes. Transfer to a bowl.
Return the skillet to medium heat. Add the cooked rice, scallions, and the remaining soy sauce mixture. Cook until just heated through, 1 to 2 minutes.
Push the rice toward the side and pour the eggs into the center. Scramble with a spatula until set, then stir into the rice. Serve with the vegetables.