Preheat the oven to 400 degrees F. Put the vegetables in a microwave-safe bowl and cover with plastic wrap; microwave until warmed through, about 4 minutes. Drain and set aside.
Combine the cilantro, lime zest and juice, 2 tablespoons water, 1 tablespoon peanut oil, the ginger, garlic, jalapeno and 2 teaspoons hoisin sauce in a blender; puree until smooth. Whisk the eggs, 2 tablespoons water, 1/2 teaspoon salt, and pepper to taste in a large bowl.
Heat the remaining 2 tablespoons peanut oil in a medium ovenproof nonstick skillet over medium-high heat. Add the pork, the remaining 1 teaspoon hoisin sauce, and 1/4 teaspoon salt; cook, stirring, until browned, 4 minutes. Stir in the vegetables, half of the cilantro-ginger sauce, and salt and pepper to taste. Pour in the eggs, increase the heat to high and cook 2 minutes.
Transfer the skillet to the oven and bake until set, 20 to 25 minutes. Cover and let rest 5 minutes. Top with the remaining cilantro-ginger sauce, more hoisin sauce and cilantro.