Peel and dice the sweet potato into small half-inch cubes to ensure even cooking and faster browning.
Heat the extra virgin olive oil in a large non-stick skillet over medium-high heat until shimmering.
Add the sweet potato cubes to the skillet and cook for 8-10 minutes, stirring occasionally, until they are tender and golden brown.
Stir in the diced yellow onion and red bell pepper, sautéing for another 3-4 minutes until the vegetables soften and become fragrant.
Push the vegetables to the outer edges of the pan and add the ground turkey to the center, breaking it up with a spatula.
Season the turkey with sea salt, black pepper, garlic powder, smoked paprika, and dried oregano while it browns.
Cook the turkey until it is fully browned and no longer pink, then mix it thoroughly with the caramelized sweet potatoes and peppers.
Add the chopped kale to the pan and toss for 1-2 minutes until the leaves are wilted and bright green.
Transfer the hash to a large bowl and serve immediately while hot.