[Quoth]

Not with anything I've tried.
An SD card reader will work with an OTG micro USB to USB A adaptor for almost any phone or tablet not made by Apple.
AFAIK there is no ereader (I've tried 6 brands, 3 x kobo modes, 2 x sony models and numerous kindles that does.

The Kindle PW3 DOES have OTG enabled as a generic USB audio stick works. However nothing else does. Extra firmware needs downloaded and installed from Amazon first for Accessibility, however the text to speech is not as usable as the Kindle keyboard and Kindle DXG because it messes up the normal GUI for touch replacing it with speech prompts and touch.

I've tried keyboards, mice, USB memory, USB HDD, USB sd card reader, USB hub and even a USB ethernet adaptor. All worked on many versions of Android phones and tablets going back years, win phone and Win Tablet.
Only the Windows phone can charge (with a special cable) in OTG host mode. All other devices only take USB power/charge in slave mode.