The question is a bit confusing. I think the answer is "yes," but here's why.
The legislature is divided into two sections, the House of Representatives and the Senate, thus a bicameral legislature. Bills that become law need to pass votes in both sections. The representatives of the House are elected by district and are allocated according to the number of citizens in the state. Thus a more populous state, New York for example, will have more reps than a less populous state like Nebraska. In contrast, there are two senators for every state regardless of population or size.
The three branch system refers to the division of government into the legislature, presidency, and supreme court. The three parts provide a system of "checks and balances" that doesn't allow any one part to become too powerful.
The U.S. does have a strong central government, but many important legislative decisions are made on the level of the state. For example, the federal government says that a state must provide for the education of its young citizens, but the individual state may make decisions about the curriculum or how that education will be funded. Therefore these things differ from state to state.