Yes. Hugely. It needs to be easily legible, and you need a clear call to action color.
I'd suggest looking at successful sites that serve your target market, and looking at what colors they use. I'm guessing you'll find lots of black/blue/grey/white sites, with orange and green calls to action.
Color Harmony Compendium, A Complete Color Reference for Designers of All Types
http://www.amazon.com/Color-Harmony-Compendium-Reference-Ann...