Short answer: No.
Long answer: What is the 'information' you wish to preserve? The phase? In that case, if you manage to make the rays collinear, you will have three monochromatic rays that each have a separate phase, so yes, the information will be preserved, but it will not be white light - it will be three monochromatic rays of 470, 510, and 640 nm. What is generally referred to as 'white light' has a broad spectrum and is not monochromatic (or trichromatic) at all.
What's more, when you are dealing with real 'rays', they will never be perfectly collinear, so they will separate after some distance. If they are travelling through a medium, like air, they will also have slightly different indices of refraction, so their relative phases will not be preserved either.