Lyric discussion by aleefazmir 

Cover art for Stall Me lyrics by Panic! at the Disco

I guess 'stall me' means 'stall me out'. A variation of "you've got to be kidding me," or "spare me." When something you don't want to happen/can't believe is happening, happens. Can be used in the positive or the negative.

e.g. "Stall me out dude, no way!"