I do, with Dropbox, and it mostly works... but it's very easy to get the database corrupted even if you are careful not to have more than one instance of Calibre open.
I haven't tried using a source control system, that might work better. Hmmm.
And of course that only works for computers, There isn't a full version of Calibre for Android.
Those aren't corrupted databases, it just can't merge so it leaves you to pick the version you want. Just pick one and keep using it, at most you'll lose some recent changes from the other computer.
I should have known not to use language imprecisely on HN. :)
To the layman, any situation that results in having Calibre show books which are not in fact there, or having books in the library which are not shown in Calibre, or having Calibre's check library function report that there are "invalid titles", "missing formats" etc., could be casually described as "corruption".
There is calibre companion an app that lets you sync all or part of your library. To sync you would merely connect wirelessly and then search for ondevice:false and send those to the device.
I haven't tried using a source control system, that might work better. Hmmm.
And of course that only works for computers, There isn't a full version of Calibre for Android.