I can't say if he did or did not, never looked into it. But, if he did not I would imagine that most of the songs he sang were penned (lyrically and/or musically) by one or more of the band members...of which he is a part.
I just take issue with singers or bands that neither write the lyrics nor music to the songs they are singing. Seems cheap to me personally.
Neil Peart is the lyricist of Rush. The people writing the lyrics and music for a band or artist are a part of the group. They do as much work as anyone else so the "the person who penned the stuff was in the band so its ok" thing doesnt work.