In a small bowl, whisk together broth, soy sauce, almond butter, freshly grated ginger, honey, and mustard powder. Set aside.
Heat 1/2 tablespoon of oil in a wok over medium. Cut chicken into strips and add to wok. Stir around to begin browning. Mince garlic and add to chicken. Continue to cook until chicken has browned and is no longer pink. Transfer to a small bowl and cover.
Add remaining oil to wok. Chop pepper into large pieces and add to hot oil; cook for 1 minute and then add almonds and shelled edamame. Cook for 3 minutes more.
Slice green onions and add to wok, along with chicken and sauce mixture. Cook until heated through.