Word on the street is that Apple has turned to Samsung to produce Amoled displays for its forthcoming range of iPhones. Now, I stand to be corrected, but I think the curve is only achievable with Amoled technology. With that in mind, if the rumors of Apple's plan to ditch LCDs in favor of LEDs turn out to be true, then It seems conceivable that Apple might experiment with it down the road.
An apple device with a curved display would be a pretty nice phone- going by Apple's standards. I'm utterly enamored with the curve design of the s7 edge, although I think the curves are pretty redundant in terms of functionality within the OS- just my opinion. It only makes it look better. Who knows, maybe Apple might make better use of it, hypothetically speaking