Nope!  I once bought a sulfate-free color-safe shampoo from Enjoy, and it doesn't work any better than the huge bottle of Head and Shoulders I bought from Costco.  I do find that moisturizing shampoos help keep the color looking better, possibly because your hair is shinier and glossier.  But really, I've never noticed a difference from any of the brands I've tried.  Those clarifying shampoos however, stripped a lot of color off, so don't get those.
And trust me, my hair color lasts.  I have to since I dye them really bright and vibrant colors, and it costs way too much, and it's too damaging to do bleach them so often, so I do speak from experience.  Dry shampoo/baby powders are your best bet to extending hair color.