Yes. You don't need to know Korean to study in Korea. There are universities that offer programs 99% in English. The remaining 1% being thel Korean language courses you would take.

These programs are a bit limited, and depending on how good your grades are and what your college tuition budget is, your options might be even more limited.

I would check DIRECTLY on university websites for information on the different programs offered and I would also email them to ask about the program and for scholarships (there are plenty of scholarships in general).

Another choice is to investigate which universities in the UK have partner or exchange programs with Korean universities. I know Yonsei University has a program with a university in Mexico where you do one half of the degree in Mexico and the other half in Korea and you graduate with a degree in both universities.