Preheat the oven to 350°F (175°C) and grease a 9x5-inch loaf pan or line it with parchment paper.
In a large bowl, whisk together the eggs, oil, sugar, honey, and vanilla extract until smooth.
In another bowl, mix the flour, baking powder, baking soda, cinnamon, nutmeg, and salt.
Slowly fold the dry ingredients into the wet ingredients, stirring until just combined. Be careful not to overmix.
Squeeze the moisture out of the grated zucchini using a clean kitchen towel or paper towels, then fold it into the batter.
Toss the blueberries with 1 tablespoon of flour to help prevent them from sinking, then gently fold them into the batter.
Pour the batter into the prepared loaf pan and smooth the top with a spatula.
Bake for 55-65 minutes, or until a toothpick inserted into the center comes out clean.
Cool in the pan for 10 minutes, then transfer to a wire rack to cool completely before slicing.