Sure, strictly speaking, the more you practice programming, the better you become at solving those sorts of problems. But is that what you really want?
Programming is a human activity more than a technological one, at its heart. It's easy to improve your computer skills, not so hard to improve your interpersonal skills.
Read "Journey of the Software Professional" by Hohmann. One of the concepts the concepts Hohmann describes is the "cognitive library," which includes both programming skills and non-programming skills. Expand your cognitive library, and your programming skill will improve too.
Read a lot of non-programming books too, and observe the world around you. Creating useful metaphors is an essential skill for the successful programmer. Why do restaurants do things how they do? What trade-offs is the garbage department making when they pick up the garbage every few days instead of every day? How does scaling affect how a grocery store does business? Be an inquisitive human to be a better programmer.