Preheat your oven to 425°F and line a large baking sheet with parchment paper.
In a mixing bowl, combine the self-rising flour and 0.5 cup of the Greek yogurt, stirring until a shaggy dough forms.
Transfer the dough to a lightly floured surface and knead for 3-5 minutes until the dough is smooth and no longer sticky.
Divide the dough into four equal portions and roll each into a long rope, then cut into 1-inch pieces.
Bring 4 cups of water to a boil in a large pot, then slowly add the baking soda, being careful as it will bubble up.
Drop the dough bites into the boiling water in batches, cooking for 30 seconds before removing with a slotted spoon.
Arrange the boiled bites on the prepared baking sheet, brush with the egg white, and bake for 12-15 minutes until golden-brown.
While baking, melt the ghee and whisk in the garlic powder, sea salt, and dried parsley in a large bowl.
Toss the warm pretzel bites in the garlic-ghee mixture until coated, then sprinkle with the grated Parmesan cheese.
Serve the bites immediately with the remaining 0.5 cup of Greek yogurt on the side as a high-protein dipping sauce.