Presumably, you would be negotiating with a dealership not with the bank that provided the money to you. You could try negotiating but, really, if the car has less miles on it than the lease buy out price assumes there's no reason for the dealership to negotiate downward.
But it never hurts to try, maybe the dealership has a glut of used cars in your model and doesn't want to take on another one. Maybe you could get them to throw in an extended warranty at no cost if you proceed with the buy out.