In a medium bowl, combine 2 tablespoons soy sauce, 1 tablespoon cornstarch and water. Mix all together until smooth and stir in the pork cubes. Cover and refrigerate for 30 to 45 minutes.
In a small bowl combine the lime juice, 1 tablespoon soy sauce, vinegar, 1 teaspoon cornstarch and sesame oil. Mix together and set aside.
Remove pork and marinade from refrigerator. In a large skillet or wok heat peanut oil until hot. Stir in ginger and chile pepper and saute for 1 minute. Then stir in pork with marinade, carrots, and sugar peas and stir-fry for 6 to 8 minutes or until pork is tender.
Pour in lime mixture, reduce heat and simmer until sauce thickens, about 6 to 8 minutes. Remove from heat and stir in hot chile oil, green onions and peanuts. Serve!