I have done it, but eventually the mesh began to look burned and let a brown color. But if you want to change it;I've been wanting to recoil one of these attys but having a hard time getting the ceramic piece out. I think if we could replace the wick inside the coil with mesh it would be about as close to perfect as these could get.
Put a vegetable oil or vg to strategic places so that ceramic piece slide better, then just tap it down. Then you can carefully slightly raise the coil with a needle and change the wick which is inside the coil.
The problem when recoil this is: if you don't solder electric wires to ends of the kanthal or nichrome (which is very difficult) , the coil will lose some power because all the resistance is not then in the coil. But maybe there will be enough.