No. Displays make (relatively) sharp peak emissions at one wavelength. We blend their relative intensities to trick our mind into thinking it's seeing the wavelength in between those three spectral peaks. All the colors we can see are from the spectral response of our three cones (hence why we use three spectral emission lines). We simply cannot tell the difference between magenta and red+blue. The actual photons are not interacting with each other. Take a prism to your display and you'll see the discrete emissions. This wouldn't happen with an actual magenta emission (which also doesn't exist, further highlighting the limits of color in the human vision system).

https://en.wikipedia.org/wiki/Cone_cell