Preheat the oven to 425℉. Lightly spray a 9-inch pie plate with cooking spray and set aside.
In a large bowl, whisk together the eggs, milk, cheese, salt, and pepper until well combined and frothy.
Lightly flour a wooden cutting board and roll the pie dough out to a 12-inch round. Carefully transfer the dough to the prepared pie dish, pressing it to fit the bottom and sides of the dish.
Pour the filling into the pie dough, then sprinkle in the diced ham. Bake, uncovered, until the filling has a slight jiggle to it and the crust is golden brown, 25 to 30 minutes.
Remove from oven and let cool for 5 to 10 minutes before slicing.