The ARM CPU that the Pi and the Exynos in this device are based on are different, that almost certainly makes the answer a no. There's a good incentive for bringing this to the attention of the guy that does Mine Peon (assuming that's the mining appliance OS you're talking about), he'd maybe port it to the device if it became popular/widely available (i.e. Beaglebone Mine Peon has been around a while now)
You could even use it as a p2pool node, or just as a dedicated Bitcoin node. Armory could be usefully ported to these devices, too.
I didn't know that the PI OS's had anything to do with the CPU, thank you for the information. I guess that takes all the specialized distros out but with Ubuntu it should be able to mine with asics still (cgminer and addons through got hub) ?
You'd also need to compile cgminer for the Exynos to use it with Ubuntu, but it probably wouldn't be a difficult job (you could ask for help on bitcointalk if it sounds daunting).
I would love a replacement for the Pi. SD cards are now my hated enemy.
Just looked at the specs for the integrated flash, I'm not sure you'd like these much more (15Mb/s Read, 9Mb/s write, 100 ms maximum block read, 250 ms max block write. That's dire, there are SD cards better than that). But there's some kind of boot mode jumper on the board though, I wonder what the modes are.