Only if it's in the comments section of the file. To check, go to the file, right click it, and click properties. After that, it will show a box telling you about the file; click the Summary tab, and it will show a white box. If there's lyrics or any kind of text, it will show you it.
But then again, most people won't put lyrics there. So it's not very common, but yes it is possible; if the uploader chooses to put lyrics.

Off topic, but Woo hoo! 700 posts!