You could probably root one and flash an image onto them if you wish.
They are not going to have much hardware support in the stock Linux kernel, because they usually run Android and the manufacturers bundle custom open-source or proprietary drivers into their Linux builds to get them to work.
You can probably get a framebuffer (display), USB and networking. Things like hardware acceleration, necessary for 3D graphics and video decode, will likely not work. Wi-Fi may not work if it is not interfaced over USB (typically the embedded boards use something like MII or eMMC signalling standards as USB ports are more expensive).