No, car polish only works for glass headlights..
home repair tricks
Use finest sandpaper you can get.. 800-1500 grit... work your way to the highest number.. if minor, use 1500 first, then use 1500 again, but this time use it wet..
Then a lot of people don't know this, but toothpaste is abrasive also, and way higher than 1500 girt for finishing.
Good tip for repairing old car plastic headlight, this tip does not work on glass, obviously.