Preheat your oven to 400°F and line a small baking sheet with parchment paper.
Peel and dice the sweet potato into 1/2-inch cubes, then toss with 1 tsp of olive oil, sea salt, black pepper, smoked paprika, and garlic powder.
Spread the potatoes on the baking sheet and roast for 15-18 minutes until they are tender and slightly browned.
While potatoes roast, heat the remaining 1 tsp of olive oil in an oven-safe skillet over medium heat.
Add the ground turkey, diced red onion, and red bell pepper to the skillet, breaking up the turkey with a spatula until browned and cooked through.
Stir the chopped kale and roasted sweet potatoes into the skillet until the kale is slightly wilted and combined.
Use a spoon to create three small wells in the hash mixture and carefully crack one egg into each well.
Transfer the skillet to the oven and bake for 8-10 minutes, or until the egg whites are set but the yolks remain runny.