As above, if the scratch is not too deep then it is possible and ideally you need to use a buffing machine as it's going to be likely to be difficult to remove it by hand rubbing. You could try looking at car headlamp polishing kits as they should contain light compounds more suited to this type of job. car headlight polishing set | eBay
CR, FWIW I have used these Nail Buffer Block, 4 Way Nail Buffer, Professional Nail Buffer (121-10) | eBay for successfully polishing out scratches in watch glass/faces. You work from coarse to fine and will initially cause it to "cloud" before the finer abrasive clears the cloud. They use the same principle on fighter jet windshields/screens
Ok so it's like polishing out a scratch in clear coat. I take it there is no way to fill a deeper scratch with something like they use to repair car windscreen?
Recommended on another thread that I still haven't gotten around to buying. QUIXX XERAPOL ACRYLIC PLASTIC POLISH PERSPEX SCRATCH REMOVER RESTORATION KITQA1 | eBay
This make work but you would need to be very careful about using it and not overfill. You do really don't want any material that is harder to polish out than the plastic itself. Glue 'n' Glaze - Deluxe Materials
For deeper scratches in Perspex that won't just polish out, Micro-Mesh do kits that are a good option. The process looks brutal but the result can be perfect given enough time and effort.
Just use wet & dry. If not too deep, start at 1000 and work you way through different grits until 2000. I got an old screen which was badly marked / scratched and came up mint, just like new. Shouldn't take more than a couple of hours.
The one I cleaned up was light tinted. The tint's inside the plastic. Sent from my iPhone using Tapatalk