Preheat the oven to 350 degrees F (175 degrees C). Coat a 9x5-inch loaf pan with cooking spray.

Whisk whole wheat flour, baking powder, baking soda, and salt together in a large bowl. Set aside.

Combine mashed bananas, brown sugar, peanut butter, yogurt, egg, and canola oil in a separate bowl; stir into flour mixture until thoroughly combined. Fold in chocolate chips.

Spoon batter into the prepared loaf pan.

Bake in the preheated oven until lightly browned at edges, and a toothpick inserted into center comes out clean, 40 to 50 minutes.

Cool bread in the pan on a wire rack for 15 minutes before removing from the pan to finish cooling on the rack.