Possible, I have one IPS monitor with a spot on screen where the color is pale. I had a post-it note there and I guess something bad happened when I tore it off.
I've never tried them on a matte or coated screen though.
There’s been no damage to the screen from the adhesive although occasionally I’ve had to clean the residual adhesive with 70% IPA, but nothing worse than the typical grime that most laptop monitors pick up.