Oh no. Samsung will come out with this first now that it is reported here.
Apple would likely get the display parts from Samsung (and LG). Samsung is way ahead in this field, which is no doubt one reason why Apple is making the move to OLED. The last thing Apple would want is to be left behind on LCD while Samsung is making foldable OLED phones.
Samsung began demonstrating flexible displays about five years ago.
In 2013, they showed off a prototype side display that later became the Galaxy Edge series. They also showed this concept video, which mocked tech groupies, and had a lot of us salivating for the folding tablet phone idea shown in it:
Now once again, there are rumors that 2017 will be the year that one of their folding designs finally go on sale:
Most likely, it'll be a simpler wallet shaped device at first. It'll also likely be very limited in availability, as IIRC mass production will probably be as low as 40K units a month.