Yes, you can make rice flour using a mortar and pestle, the traditional way of grinding grains. It's often used in Southeast Asia and India to make rice flours.  To do so, simply combine the white rice with cool water in a mortar and pestle and grind until the grains have been pulverized into a light, white rice flour. Rinse the mortar and pestle to eliminate any rice or other debris and repeat the process. After a few rounds, you will have excellent light rice flour. This may take some time, but it will be worth it.  You can also dry the flour in the sun on a tray to keep it until you need it, especially if you plan on using it in another recipe.