I don't think so, as I understand it the Force is within all living thngs, but not all living things develop the ability to "use" the Force if you will. Just because a Wookie can't use the Force doesn't mean the Force isn't a part of it, remember that the Force is more of an analogy towards the essence of life, basically it is life. The Force is not the abilities the Jedi posses, they are in a sense more evolved thus can use and see other aspects of life others can't. There are plenty of races that can't use the Force in the way the Jedi can, I don't believe it makes a contradiction to the statement that the Force is within everything.
Just my opinion though.
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well lucas let that rule be completely broken by letting them make the yuuzhan vong completely untouched by the force