first completely unplug it from the wall if you haven't already, short circuits can lead to fires.
and to answer your question, probably not, since it's not a manufacturing problem.
you could try though, go into the genius bar, be friendly and don't demand anything (since really, they don't owe you anything)
if they say no, then hey you're already at the apple store and can buy a new one
if they say yes, then SCORE, you don't have to buy a new one