Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper.
Peel the sweet potato and sweet plantain, then dice both into uniform 1/2-inch cubes.
Cut the chicken breast into bite-sized pieces and place them on the baking sheet along with the potato and plantain cubes.
Drizzle the olive oil over the chicken and vegetables, then sprinkle with sea salt, black pepper, smoked paprika, and garlic powder.
Toss everything thoroughly to ensure an even coating of oil and spices, then spread into a single layer.
Roast in the oven for 20 minutes, tossing the ingredients halfway through the cooking time.
Remove the pan from the oven, add the chopped kale, and toss gently to combine with the roasted mixture.
Return to the oven for 5 more minutes until the kale is tender and the chicken is fully cooked through.