Okay, I cannot answer directly, but I know that calibre is (with some minor editing) portable and it doesn't actually require the books to be present in order to maintain a database. So... what does that mean?
I think it should be completely possible for you to create a copy of your library, install calibre, delete all of the books in the library. In that manner you effectively have a fully working copy of calibre and your library database on this other computer.
Try these links:
Moving Ebooks... and
Calibre Portable.