A tablet is not suitable for this sort of thing to begin with...
But as long as the tablet can operate as a USB host, i.e. it supports USB On-The-Go, you should have no problems besides the obvious awkwardness of trying to treat a tablet like a computer. Just plug your standard USB storage device (the Kindle) into the OTG-capable tablet and it will appear like any other sd card, flash drive, or similar.
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