There is a yes and no answer here. If your brand is going to "stay in place" and offer a single service, then NO. If your company services different locations or different products, that can be good enough reason to have a different color schemes, then YES. However the logo itself (lettering & symbol) should not change.

Just remember that some professionals with a design/graphic background may be too opiniated on this (with good reason, for most), but don't waste too much time around the logotype if you have other more pressing problems (marketing, sales, like some of my consulting clients).