Peel and dice the sweet potato into small, uniform cubes to ensure even cooking.
Heat the olive oil in a large non-stick skillet over medium-high heat.
Add the sweet potatoes to the skillet and sauté for 8-10 minutes, stirring occasionally, until they are tender and golden brown.
Stir in the ground turkey, diced bell peppers, and red onions, breaking the turkey apart with a spatula until fully cooked and the vegetables are softened.
Season the hash mixture with sea salt, black pepper, and smoked paprika, then reduce heat to low to keep warm.
Fill a medium saucepan with water, add the white vinegar, and bring to a gentle simmer over medium heat.
Carefully crack each egg into a small ramekin, then slide them into the simmering water one at a time.
Poach the eggs for 3 minutes until the whites are opaque and set but the yolks remain liquid.
Divide the sweet potato hash into two bowls, top each with a dollop of Greek yogurt, and carefully place a poached egg on top.