The short answer is Yes, But. The best way would be to sand all of the stucco away, clean, prime, apply the backsplash, apply and clean the grout, and seal it all. Let it cure for a few days, keeping moisture away.
A lazy man's way would be to smooth the surface out with your grouting material, apply the backsplash, grout and clean, seal, and keep everyone away. Best wishes 😇
If it's a very rough stucco finish, my answer would be a "no" because there isn't much flat surface on which the "peel & stick" can cling. However, if you sand the stucco down to a flatter, more even surface, removing all the loose bits and dust, it should work BUT it will be a messy, hard job. Good luck!
I want to repaint the kitchen and maybe install a frugal backsplash. My walls are that textured drywall and I'm not sure a peel & stick tile will work.
I have a fake brick backsplash in kitchen that is impossible to remove. I want to find something to cover it. I Already painted it and I still don't like it.
No! Not as it is!!
Wayfair has back splashes for stucco walls.
https://www.wayfair.com/keyword.php?keyword=backsplash+for+stucco