Preheat the oven to 350. Lightly grease an 8-inch loaf pan.
In a large mixing bowl, beat together the eggs, coconut oil, honey, brown sugar, Greek yogurt and vanilla until smooth.
Add the salt, baking soda, baking powder, cocoa, and flour, mixing until well combined.
Stir in the zucchini and chocolate chips. Pour the batter into the prepared pan.
Bake the bread for 55 to 75 minutes, until the loaf is done (until a toothpick comes out clean).
Remove the bread from the oven, and let it cool for 10 to 15 minutes before removing the loaf to a cooling rack.