Yes, you can get the display replaced. If you don't have the accidental damage protection (ADP) coverage (I don't think it comes as part of the standard warranty) then you'll probably have to pay them to get a repair on it. If it's not too late, you might ask them also about getting extended warranty with ADP.
They might even provide you with the option of having someone come out to your house and fix it, but that does cost extra. You'd save money by mailing it into them to be repaired, but then you'd be out of a laptop for a while as they acquire the part and fix it.
I should also add that if you're good with fixing things, I have seen them mail the part to the individual with instructions on how to replace it. There is also a link somewhere around here to the repair manual.