Preheat oven to 350 degrees. Lightly grease a 9×5 or 9×4 inch loaf pan, or line it with parchment paper. If making muffins, lining tin with paper liners.
In a large bowl, combine almond flour, arrowroot starch, baking soda, and salt. In a separate bowl, beat together eggs and coconut sugar for 2 minutes. Add the vanilla, melted oil, mashed bananas, and vinegar. Beat on medium speed until well combined.
Stir banana mixture into flour mixture until well combined. Mix in the walnuts and chocolate chips. Pour batter into prepared loaf pan or muffin liners
Bake in preheated oven for 60-75 minutes, you want the exterior to be deep golden brown. Bake for 30 minutes if making muffins, or until a toothpick inserted into center of the loaf comes out clean. Let bread cool in pan for 10 minutes, then turn out onto a wire rack and cool another 10-15 minutes before you enjoy.