LG, this morning, announced “the world’s first flexible OLED panel for smartphones.” They also very quickly bragged that they would be announcing products – within a year’s time – that would feature the flexible screens. That said, flexible displays don’t necessarily preclude flexible devices; the engineering behind making flexible electronic innards is still a long way off, and even if it were it would likely be prohibitively expensive. For the moment, the most we should expect is a device that curves before the technology is sufficiently developed (and sufficiently inexpensive) for mass consumption. So, succinctly, the answer to the title is: no.