Basically no. But you can import your local files and sync them through Spotify to mobile devices.
But if you use more than one computer then you'd need your local files on all of them, for that you need to manually copy them from one to the other, or use a service such as Dropbox as hpguru has suggested. Dropbox would automate the process of keeping all the computers having the same [local] files on them.
--
First was the record, then the cassette, the CD, then came along Spotify... that really did change everything!
