Paper thin on a planer...yes!
Gentlemen,
A local woodworking artist, now semi retired disclosed how he made some of his letter openers, earrings and other things with such thin ribbons of color.
He merely used double sided tape. No not carpet tape, the double sided tape that is sold by P'TreeUSA.com.
All you do is apply tape to a piece of anything such as plywood or what is handy, take think cuts and you can plane down to extremely thin. SAFELY!
When this gentleman held classes years ago, I heard people saying man, he spends more time on safety than anything else. Yes, he has all his fingers and body parts too at 65+ years.
Charlie