Heat cast-iron skillet over med-high heat. Add 2 tbsp avocado oil along with sweet potato. Cover with lid and cook until fork tender (approx. 8 min), stirring occasionally.
Add peppers and onion and toss everything to combine. Cook 4-5 min or until veggies have slightly softened.
Push veggie mixture to one side of the skillet. Add kale to the empty side of the skillet and cook 2-3 min undisturbed (this should give the kale a bit of a char). Toss everything to combine.
Use a spatula to make 4 wells. Drizzle a tiny bit of avocado oil in each well and proceed to crack an egg into each of the pockets. Cover with lid and cook until desired consistency is reached (approx. 5-6 min for firm whites and medium yolks).
Remove from heat and garnish with avocado and cilantro. Serve directly in the skillet or individually in plates.