Well, /var contains variable data files. This can include spool directories and files, administrative and logging data, and transient and temporary files.

Since it's under your home directory, it's probably safe to assume that files under ~/.var serve the same purpose as files under /var except that they are for your user only.

Perhaps an application that you use is storing important files there. You can certainly inspect the files yourself.

A good rule of thumb is that if you don't know what something does in a system or config folder, it's best to leave it alone.