Explanation
Yes. An E Ink screen can retain an existing image after its power supply is disconnected. This property is called bistability: the display does not need continuous power simply to hold the image.
E Ink's technical explanation distinguishes holding an image from changing it, which requires power. Adafruit's documentation for its e-paper hardware also confirms that an image remains visible with the power off.
The claim concerns a static image on the display, not every function of a complete device. A retained page does not show that the device is still operating, and updating the displayed content requires power again. These sources do not establish one universal retention duration.
Key takeaway
An image can remain visible on an unpowered E Ink screen. Retaining a page and updating it are different operations.