Cook noodles according to package directions, drain, and set aside.
In a small bowl, whisk together soy sauce, sesame oil, honey, sriracha, and red pepper flakes.
Heat 1 tbsp vegetable oil in a large wok or skillet over high heat.
Add chicken cubes and sear until golden brown and cooked through, approximately 5 to 7 minutes, then remove from pan.
Add remaining 1 tbsp oil to the pan and stir-fry broccoli for 3 to 4 minutes until bright green and tender-crisp.
Return chicken to the pan and add garlic and ginger; sauté for 1 minute until fragrant.
Pour in the sauce mixture and the cornstarch slurry, stirring constantly until the sauce thickens and glazes the chicken and broccoli.
Add the cooked noodles to the pan and toss thoroughly to combine and heat through.
Serve immediately garnished with sliced green onions.