In a small bowl whisk together soy sauce, curry paste, vinegar, peanut butter, and pepper until smooth.
In a 12-inch skillet heat 1 tsp. oil over medium heat. Add eggs; cook, without stirring, just until set. Stir egg gently to break into pieces. Remove from skillet.
In same skillet heat 2 Tbsp. oil over medium-high heat. Add broccoli; cook and stir 2 minutes. Reduce heat to medium. Add carrots and edamame; cook and stir 2 to 3 minutes or until crisp-tender. Stir in rice, egg, and soy mixture; cook 1 to 2 minutes or until heated through. Serve topped with peanuts.