1. In a medium bowl, whisk together the flour, baking powder, salt, and sugar.

2. In a separate bowl, whisk together the vegetable oil, water, and egg.

3. Pour the wet ingredients into the dry ingredients, and mix until a soft dough forms.

4. Turn the dough out onto a lightly floured surface and knead for about 5 minutes.

5. Roll the dough into a 1/2-inch thick rectangle and cut into 2-inch squares.

6. Heat the vegetable oil in a large skillet over medium-high heat until it reaches 375°F.

7. Working in batches, carefully add the beignets to the skillet and fry for 1-2 minutes on each side, or until golden brown.

8. Remove the beignets from the skillet and let them cool on a paper towel-lined plate.