Cook the noodles according to package instructions, then drain and set aside.
Heat oil in a large skillet or wok over medium-high heat.
Season the sliced chicken with salt and pepper, add to the skillet, and cook until browned and thoroughly cooked.
Remove the cooked chicken from the skillet and set aside.
In the same skillet, add more oil if needed and sauté minced garlic and ginger (if using) until fragrant, about 30 seconds.
Stir in soy sauce, honey or brown sugar, rice vinegar or lime juice, and chili paste or sriracha if using.
Simmer the sauce for 1 to 2 minutes until slightly thickened.
Return the cooked chicken to the skillet, add the drained noodles, and toss everything together until well coated with the sauce.
Serve warm, garnished with sliced green onions and sesame seeds if desired.