Technically, you can learn front-end web design anywhere you are, and it doesn't have to be from a professor. But if you want to learn under professor and want to broaden your horizons, studying aboard can help your state-of-mind which could drive and motivate you to learn the subject more. I believe that is why most students try studying aboard, you expand your culture by learning other cultures and how their visual designs differs from the U.S.
In whatever decision you make, to pursuing your major outside of you comfort zone or staying to build a continuing life. You can learn design as long as you can stay focus on it.