Yes, you can apply peel-and-stick wallpaper over wood paneling, but it requires significant preparation for a good result. Peel-and-stick wallpaper has a weaker adhesive than traditional wallpaper and works best on smooth, non-textured surfaces like painted or primed drywall. Because wood paneling is often textured with grooves, any flaws in the underlying surface will likely be visible after application. To prepare the paneling, you must ensure the surface is free of cracks, holes, and protrusions by filling any indentations and sanding rough spots to create a smooth surface. An alternative is to remove the paneling and apply the wallpaper directly to the underlying drywall or plaster, provided it is in good condition.

Wall panels offer functional and aesthetic benefits. From a practical standpoint, panels can improve your home's insulation and energy efficiency, especially if you opt for solid wood panels. They can also help protect your existing wall.

Aesthetically, wall panels have a knack for adding dynamic texture, warmth, and sophistication to a room. And thanks to their many different shapes, sizes, and styles, wall panels can elevate a wide variety of home designs.

Finally, it’s relatively easy to cover wall panels, so you have some flexibility if you end up not liking the look over time.

If you need a stronger magnetic surface, or you need to use a different type of paint in the room (like waterproof paint in a damp basement), there are other accessible options. You could fit a steel panel over the wall, try magnetic wallpaper, or apply chalk paint instead. 

If you want an inexpensive shortcut, hang a pinboard or chalkboard on your wall. These removable options are ideal if you’re a renter who can’t repaint or plan to move in the near future.

If you prefer peel-and-stick to traditional wallpaper, you can skip the priming process. Many manufacturers don't require an additional primer if you’re installing peel-and-stick wallpaper to painted walls. However, if you’re applying peel-and-stick wallpaper to unfinished drywall, you’ll need to apply a primer first.