Heat the oven to 475°F with an inverted rimmed sheet pan on the middle rack.
Stretch the dough on parchment into a roughly 12-by-15-inch rectangle and brush the rim with olive oil.
Spread on the barbecue sauce, leaving a 1/2-inch border.
Scatter the pulled pork, mozzarella and red onion evenly over the sauce.
Slide the parchment and pizza onto the hot pan and bake until the bottom is crisp and the cheese has brown spots, 13 to 16 minutes.
Add the dry pickle chips and black pepper, then cool the pizza for 3 minutes before slicing.