In a pot of salted boiling water, cook the noodles according to the directions on the package. Drain well.
In a small bowl, mix together soy sauce, oyster sauce, sesame oil, sugar, and black pepper. Set aside.
Heat half of the vegetable oil in a wok or large skillet over high heat. Add the chicken and stir-fry until cooked through and lightly browned. Remove the chicken from the pan and set aside.
In the same pan, add the remaining vegetable oil. Add the onion, bell pepper, carrot, cabbage, and minced garlic. Stir-fry for about 2 - 3 minutes until the vegetables are crisp-tender.
Add the cooked chicken back to the pan with the vegetables and stir to combine.
Pour the sauce mixture over the chicken and vegetables. Stir-fry for another minute to coat everything evenly.
Add the cooked chow mein noodles to the pan and toss well to combine with the chicken and vegetables. Cook for an additional 2 - 3 minutes until the noodles are heated through.
Remove from heat and garnish with scallions.
Make the Broccolini: Trim the ends of the broccolini stems. Bring a pot of salted water to a boil.
Add the broccolini to the boiling water and cook for 2 - 3 minutes, or until bright green and tender.
Drain the broccolini and transfer to a plate. Season with a sprinkle of salt.
Mix together the coconut water and lime.
Serve the chow mein with broccolini, fortune cookie, and coconut lime water.