They won't be in the same program at RU, but it's possible that Yuuki and Lucille could be in the same gen ed classes.

I also floated the idea with Ichi about having these two be from the same small town that most of the Fairweathers are from, so if that's something you're interested in, maybe they were classmates in middle and possibly school as well. Lucille is definitely the type to visit someone she knows in the hospital, and while she's not into the online game thing, she would at least try to keep Yuuki company.