Heat a tablespoon of olive oil in a large pan over a medium heat. Add the chicken and stir-fry for about 5 minutes, until the chicken is cooked through. Remove the chicken and set aside.
Place 250ml of water in a medium saucepan and bring to the boil. Add the kale and cook, covered, for about 5 minutes, stirring occasionally. Drain and set aside.
Meanwhile, heat a tablespoon of olive oil in a large pan over a medium-high heat. Add the onion and stir-fry for 2 minutes. Add the garlic, chilli and ginger and stir-fry for 2 minutes. Add the cooked kale, noodles, cashew nuts, soy sauce, rice vinegar and lime juice. Return the chicken to the pan and stir-fry until the chicken and noodles are heated through.
Divide the stir-fry between warmed serving bowls. Sprinkle over the mint and serve.