Fill a 2-quart saucepan with water and bring it to boil. Add the noodles and turn off the heat. Let the noodles sit in the water for about 2 minutes, until they soften. Drain the noodles and rinse with cold water. Set aside.
Heat 1 tablespoon of olive oil in a large sauté pan over medium-high heat. Add the onions and cook for 2 minutes. Add the minced ginger and cook for another minute. Mix in the carrots, bok choy, and scallions and cook for 3 to 4 minutes, until the vegetables soften. Season with a pinch of salt.
Transfer the noodles to the pan. Add the soy sauce, sweet chili sauce, lime juice, and sesame oil, if using, and toss the sauces with the noodles. Try your best to incorporate the vegetables with the noodles. Turn off the heat. Taste the noodles and adjust the seasoning to your liking.
Beat 2 eggs in a small bowl. Heat a non-stick 12-inch pan with 2 teaspoons of oil over medium heat. Swirl the oil around the pan. Add the beaten egg and and swirl it around the pan to form a thin, round omelette. Make sure that there are no holes in the omelette. If it's not easy for you to swirl the pan, use a spatula to push the runny part of the eggs to fill in the gaps. Cook the egg for 1 to 2 minutes, until it is set and the top is glossy. Turn off the heat.
Use tongs to transfer about a heaping cup of noodles and vegetables to the center of the omelette. Using tongs, carefully lift the top and bottom of the omelette and fold towards the center. Then, fold in the left and right sides to get a square pouch. Cover the egg parcel with a plate. With your left hand, hold onto the plate as you flip the pan over with your right hand. This is the safest way to transfer the egg parcel to your plate without ruining the pouch.
Beat another two eggs in the bowl and repeat the process for making the egg parcels. You can make 2 egg parcels and have plenty of noodles left over or 4 egg parcels with a little bit of noodles left.
Cut open the egg parcels with a knife. Serve the eggs and noodles with sliced limes, peanuts, sesame seeds, pepper flakes, and sliced scallions if you like.