Preheat your oven to 375°F (190°C). Line a baking sheet with parchment paper.
Whisk together the tapioca starch, baking powder, and salt in a large bowl
Add the softened butter, Parmesan cheese, and mozzarella cheese to the dry ingredients. Use your fingers or a pastry cutter to rub the butter into the mixture until it resembles coarse crumbs.
Make a well in the centre of the mixture. Add the eggs and milk and use your hands to bring the dough together. If the mixture feels too dry, add a teaspoon or two more milk until a workable dough forms.
Divide the dough into 12-15 equal pieces and roll each piece into a ball. Place the balls on the prepared baking sheet, leaving about 2 inches between them for spreading.
Bake in the preheated oven for 15-20 minutes, or until the chipas are golden brown and slightly puffed.
Serve warm and enjoy!