Preheat your oven to 350°F (175°C). Grease and flour a 9-inch cake pan.
In a mixing bowl, whisk together the flour, sugar, shredded coconut, baking powder, baking soda, and salt.
Add the softened butter and mix until the mixture resembles coarse crumbs.
In another bowl, whisk together the eggs, coconut milk, lemon juice, and lemon zest.
Pour the wet ingredients into the dry ingredients and mix until just combined.
Pour the batter into the prepared cake pan and smooth the top.
Bake for 30-35 minutes, or until a toothpick inserted into the center comes out clean.
Allow the cake to cool in the pan for 10 minutes, then transfer to a wire rack to cool completely.