I really doubt that. They've said many times that most of these songs were written on tour for 21CB and during/after Billie Joe's run in AI the musical. The only song confirmed to be written before is Drama Queen, which was taken off of 21CB to make room for Murder City. Also, Walk Away on TRE is rumored to have been on Cigarettes and Valentines, but I really think that's it.
Plus that would be a crazy amount of music to write in that time, a long with them writing 21CB and doing the Foxboro Hot Tubs.