Is there any way to have Amarok fetch lyrics for a song, besides playing the song and clicking the lyrics tab? Specifically, I was wondering if it was possible to fetch lyrics for multiple songs at once, like have Amarok save a whole album's worth without playing each song.

There's no such feature in Amarok. Also I'm not aware of any script that does it, but theoretically it might exist.

This would be incredibly useful, specially when having an over-saturated internet link or to speed up the loading of the Lyrics Tab.