I don’t know the answer to your question but it’s a beautiful color!
I suppose you mean repolish?
In general there’s nothing preventing any stone from being repolished. Whether it would be suitable in this particular case depends on circumstances you and we here aren’t really able to judge. To start, the stone would have to be taken out of the setting - can that happen without the setting being compromised or even straight up destroyed in the process? And then you have to take into account the structural integrity of the stone, how significant the facet wear is… all things that need to be judged by someone who has both an experienced eye and an experienced hand.
You can always start with talking to a jeweller about the possibility of taking the stone out of the setting and then putting it back in. If that can be done, you can consult with a lapidary and eventually take it from there.
I have re polished and recut emeralds before. It is certainly do-able. Whether or not it is worth doing is something only you can decide. For me, I love the color, so it would depend on the treatment level. That is how I would decide, in consultation with a jeweler who would source and be responsible for the lapidary.
... But what may appear to be "scratches" on the table are actually surface-reaching fractures. No amount of polishing will remove them, and depending on the level of polishing, they could even worsen. ...