Yes, it will, Paul. The Premier Grade finish is the same on both. Take your time, go easy, and be sure that the direction of your strokes is the same as the original polishing. Done properly, the touch up will blend flawlessly with the original polishing. The pads can be purchased at auto or auto body supply stores.
I use Lead-Away cloth (carefully) on Field Grade finishes when I have to, but the results are not very satisfactory in many cases, and the part may need to be re-blasted with an appropriate media. The Scotch-brite eliminates that issue on the Premier Grade.