Combine flour, baking powder, sugar, and salt. Wisk until well combined. Add coconut milk. Mix until just combined. Flour your hands and a work surface. Knead dough until completely combined and tacky. Place in a bowl, cover with kitchen towel, and let rest for 30 minutes.
Divide the dough in half. On a floured work surface roll one-half about ⅛ inch thin. Using a glass or biscuit cutter cut rounds in the dough. Repeat with remaining dough.
Heat vegetable oil in a cast iron skillet or heavy bottom skillet. Test oil with a scrap of dough. It should puff and float. Carefully add dough round to the oil. Fry until dough puffs and then turn the rounds. Continue to fry until golden brown.
Transfer to a plate lined with paper towels to drain and cool. Serve warm and crisp.