Prepare the broth: Simmer chicken stock with ginger and scallion whites for 10–15 minutes. Season with fish sauce, white pepper, and salt to taste. Add the 6 whole shrimp and cook for 2–3 minutes, until pink, opaque, and fully cooked. Turn off the heat and set aside.
Cook the bok choy, noodles, and wontons: Bring a large pot of water to a boil. First, blanch the bok choy for 30–60 seconds, then remove and set aside. Next, cook the noodles in the same pot according to package instructions. Drain, rinse briefly under cold water, and set aside. Finally, cook 12 wontons in the same pot for 4–6 minutes, or until they float to the surface and the filling is fully cooked. Remove with a slotted spoon.
Assemble the soup: Reheat the broth until hot. Divide the noodles, wontons (6 per bowl), shrimp (3 per bowl), and bok choy between two bowls. Pour the hot broth over everything and finish with chopped scallion greens and chili oil. Serve immediately.