Preheat your oven to 350°F (175°C) to ensure even baking.
Grease your loaf pan with coconut oil or line it with parchment paper for easy removal.
Grate the zucchini until you have about 1.5 cups, then squeeze out the excess moisture using a clean kitchen towel.
In a large mixing bowl, whisk together the coconut milk, eggs, and vanilla extract until well combined.
In another bowl, whisk together the almond flour, tapioca flour, coconut sugar, baking powder, cinnamon, allspice (if using), and salt until no lumps remain.
Gradually add the dry mixture to the wet ingredients, stirring gently with a spatula until just combined.
Fold the grated zucchini and optional chocolate chips into the batter gently.
Pour the batter into the prepared loaf pan, smoothing the top with a spatula.
Bake for 50-60 minutes, or until a toothpick inserted into the center comes out clean.
Let the bread cool in the pan for 10 minutes, then transfer to a wire rack to cool completely before slicing.