Cook chow mein noodles according to package directions, drain well, and set aside.
Heat oil in a large wok or skillet over medium-high heat.
Add shrimp and stir-fry until pink and cooked through, about 2-3 minutes. Remove shrimp from wok and set aside.
In the same wok, stir-fry bok choy, green onions, and bean sprouts until tender-crisp, about 2-3 minutes.
Return cooked shrimp to the wok and add the cooked noodles.
In a small bowl, whisk together oyster sauce, soy sauce, Shaoxing wine, chicken broth, and sesame oil.
Pour sauce mixture over the ingredients in the wok and toss everything together until well combined and heated through.
Season with salt and pepper to taste and serve immediately.