Add the flour, salt, and Greek yogurt to a food processor. Pulse 3-4 times until a dough begins to form with plenty of loose flour remaining. (You can also use a stand mixer or mix with a fork in a large bowl.) Dump the dough on a flat surface and bring the dough together completely with your hands. Press into a thin circle, about the same size as the bottom of a 12" cast iron skillet.
Heat a 12" cast iron skillet over medium heat with the olive oil. Once the oil is hot, add place the pizza dough in the skillet. Cook for 6-8 minutes until you start to see some browning on the bottom of the crust.
Add half the shredded cheese on top of the crust. Once melted, spoon the bbq sauce on top (don't worry about spreading). Add the pulled pork, diced vegetables, and remaining cheese.
After the pizza has been in the skillet around 12-15 minutes and is turning golden brown in spots, transfer the skillet to the oven and bake for 8-10 minutes until the edges around the top of the pizza are golden brown.
Carefully transfer the cooked pizza to a flat surface to cool for a few minutes before slicing.
Notes
Each slice of pulled pork pizza has 5 Smart Points.