I preface this by saying that I know absolutely nothing about Missouri law; however, that being said, I do not see why not. If an LLC is a valid business entity in Missouri, then an LLC should be able to conduct business the same as any other entity. I have never heard of a state barring the use of independent contractors, or of enacting laws that prevent a certain type of entity from utilizing independent contractors.
Perhaps there is more to your question that you could clarify. If you have heard something contrary, or are just concerned, i strongly recommend seeing a MO attorney. In all states you must ensure that your independent contractors are truly independent contractors and not simply employees that you call independent contractors to get out of paying employment taxes.
