Preheat oven to 450 degrees Fahrenheit (232 degrees Celsius).
In a large mixing bowl, combine the self-rising flour and Greek yogurt using a sturdy spatula until a shaggy dough forms.
Transfer the dough onto a clean, lightly floured surface.
Knead the dough by hand for 5 to 8 minutes until the texture becomes smooth and slightly elastic.
Divide the dough into two equal portions for individual pizzas.
Roll each portion out to a thickness of approximately 0.25 inches on a piece of parchment paper.
Apply desired toppings to the surface of the dough.
Transfer the parchment paper with dough onto a preheated baking stone or baking sheet.
Bake for 10 to 12 minutes until the crust edges are golden brown and the bottom is firm.