No, according to Robert Krulwich:
[W]hat this video says is that there is no such thing as a band of wavelengths that mix red and violet, and therefore, pink is not a real wavelength of light. That's why pink is an invention. It's not a name we give to something out there. Pink isn't out there.
Michael Moyer corrects him:
Pink is not out there, because no color is really "out there." The world is full of electromagnetic radiation, and the only intrinsic properties that this radiation possesses are physical ones such as wavelength and intensity. Color, on the other hand, is all in your head.