Preheat the oven to 350°F.I n a large bowl containing the kale leaves, drizzle the olive oil and toss, using your hands to help evenly coat the leaves. Next drizzle the vinegar and repeat the process of tossing using your hands to help evenly coat the leaves once more.
In a parchment paper lined baking sheet, evenly spread out the kale leaves and give a light dusting of the sea salt. Bake the leaves for about 20 minutes, rotating the leaves every 5 minutes or so to ensure even baking.
Remove the chips from the oven and give one more dusting of sea salt and let cool. Store in an airtight container until you are ready to enjoy. Using a small frying pan, cook the eggs sunny side up. Divvy up the kale chips and top with the sunny side up egg.