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That depends. You need to be fluent (and I mean completely fluent) in Japanese to attend university. It can take 3 or 4 years of serious study to attain that kind of fluency, so you might be better off just attending university in your home country and take Japanese classes there. If you're really yearning to get to Japan and live there for awhile, you can take a year-long study abroad trip while you're attending university (which is what I did).

There are a small amount of universities in Japan that do have an English curriculum (and by small amount, I mean about two or three). However, they're private schools, and they're very expensive.