Yes, but...
Any tagging on one PC will be a problem on other PCs until you run "Update library from tags".
Any files movements, deletes, copies, on one PC will a problem on other PCs until MC fixes broken links, assuming that is turned on. You will probably need; Fix broken links: Yes (protect files on missing drives), as long as the drive letters are always the same, and MC doesn't try to identify the specific drives. You may need to use; Fix broken links: Yes. In which case, never start MC without a drive attached.
You would want to write all tags to files, where possible, and keep Cover Art next to the files. Then for music and movies, Cover Art should be fine, next to the media file or in tags, but TV Series, Season, and Episode Cover Art isn't going to work, unless you change the default Cover Art directory to be on the same disk, and in the same place on each disk.
There may be some other tags that will display unexpected results, such as Bookmarks and Playback Info. But mostly they should be fine.
Mostly you should be fine, but it would be better if the disks were matched to the PCs, for the above reasons, and Brian's.