That effect is applied by
hydo dipping which then transfers whatever is on the decal onto the part. The effect can be altered by changing the colour of the base coat. a clear coat is then applied. Not that this process is different from a vinyl wrap.
This is how I got the carbon effect on my bike.
If the damage is confined to the clear coat then you may be able to flat that back and then re-finish. The risk is that you go through and also take off the carbon effect. If that happens you are no worse off.
An alternative would be to seek out replacement carbon effect parts.