Yes — if the laser’s wavelength matches what the material is sensitive to, it can expose the paper. RC photographic paper is generally less sensitive to red light, which is why red safelights are commonly used in darkrooms, so a red laser may be weak or ineffective. A green laser pointer is more likely to work.

The result depends on the paper’s spectral sensitivity and how much exposure you give it, so the speed you move the laser across the paper matters. The simplest answer is to test it.

If you want alternatives for a demo, two inexpensive light-sensitive options mentioned were blueprint paper and liquid light (a brush-on photosensitive emulsion that can be applied to different surfaces).