Preheat oven to 400° F. Place olives on double layer of paper toweling. Gather corners and squeeze out excess moisture, then chop. Slice chorizo and place in mini processor. Add scallions and cumin; finely chop with on/off pulses. Add cheese and olives; pulse, just until combined.
Place pastry on lightly floured surface. Scatter chorizo mixture evenly over pastry squares, leaving ½” uncovered on far lengths of squares. Roll up squares like jellyrolls; cut each into ½” slices. Place slices cut-sides down, on baking sheets; space 1” apart.
Bake until golden, 12 to 15 minutes. Transfer to racks and cool slightly. Serve warm.