Combine soy sauce, chilli jam, peanut butter, lime juice, sugar and 2 tablespoons water in a small jug. Mix well. Set aside.
Place chicken in a bowl. Add oil and toss to coat. Heat a large non-stick wok over a high heat. Stir-fry chicken in hot wok in 2 batches for about 3 minutes or until lightly browned and just cooked. Remove and set aside.
Add onion, carrot and 1 tablespoon water to wok. Stir-fry for 2-3 minutes, until lightly browned. Add capsicum and beans. Stir-fry for a further 2 minutes.
Return chicken to wok with sauce mixture. Stir-fry until combined and hot.
Meanwhile, cook noodles as directed on packet. Drain. Serve stir-fry and noodles with lime wedges.