If by mica you mean formica (a plastic, mica is a natural mineral), then yes, cutting it with laser is a straight forward process. It should be no different than cutting acrylic. There's also melamine, which have similar properties.
Formica comes in all kinds of colours. If you have the funds, you could check out if they come in a colour you can use directly. That would save a lot of work.
Hey FF,
I've been poking around and it appears Formica comes with an ENDLESS color palette! I'm seriously leaning toward using the Formica for the next round. Since I'm considering building a 1/4 scale cockpit, I might use the Formica as a good practice run!
THANKS!