Preheat the oven to 350°F (175°C). Grease a 9x5-inch loaf pan and line it with parchment paper, leaving some overhang for easy removal.
In a medium bowl, whisk together the coconut flour, baking powder, baking soda, ground cinnamon, and salt until evenly combined.
In a separate large bowl, beat the eggs. Add the almond butter, coconut oil (or vegetable oil), and vanilla extract, and mix until smooth.
Stir the mashed bananas into the wet mixture until incorporated.
Fold the dry ingredients into the wet ingredients until just combined; the batter will be thicker than wheat-based batters.
Fold in the chocolate chips evenly through the batter.
Transfer the batter to the prepared loaf pan and smooth the top. Bake for 35–40 minutes, or until a toothpick inserted in the center comes out clean or with a few moist crumbs.
Let the bread cool in the pan for 10 minutes, then lift it out using the parchment overhang and transfer to a wire rack to cool completely before slicing.