Heat the avocado oil in a large non-stick skillet over medium-high heat.
Add the ground turkey to the skillet, breaking it into small crumbles with a spatula, and cook until browned and no longer pink.
Toss in the diced sweet potato, red onion, and bell pepper, stirring frequently until the potatoes are tender and have developed a light golden crust.
Lower the heat to medium and stir in the smoked paprika, garlic powder, sea salt, black pepper, and chopped kale, cooking until the kale is just wilted.
While the hash finishes, bring a small pot of water to a gentle simmer and add the apple cider vinegar.
Crack each egg into a small ramekin, create a gentle whirlpool in the simmering water, and carefully drop the eggs in to poach for 3 minutes for a runny yolk.
Portion the sweet potato and turkey hash into a bowl and top with the hot poached eggs.