Yes, but would require some serious elbow grease and repeated applications if they are anything more than very light.
Meguiars also do a plastic polish formulated to do the job.
try scratch x, it does require rubbing in very hard with a foam applicator pad. I did 2 hours on this small area and managed to achieve this. you need to rub in the polish untill the abrasives have diminished.
Really you should get a machine polisher and do it that way itl be a lot easier. But 8 quid or so scratch x vs £200 machine.....