The issue is that all the software in the distro must be compiled for Arm architecture. There are several distros that are specifically available for Arm, however, they are intended for diy boards that are either easily flashed or will boot from removable devices. ( Raspberry Pi, Beagle Board etc.)
None of these will run as-is on a device it wasn't made for though.
Some of these distros have been compiled to run on certain popular consumer product like the Arm based Chrome book. Again, the actual method for getting the firmware onto the device is very specific to each device. This is not to difficult if someone has already done all the ground work, but it's quite a technical process to do from scratch. (and usually results in few bricked devices in the early attempts.)
If your device does support booting off a flash drive or SD card, then you can try any of the popular Arm distros. At least that approach shouldn't interfere with the built-in firmware and is relatively safe to experiment with.
provides an overview of consumer devices known to work with various Linux distros that have been compiled for Arm.
I'm really not certain which distro image would be the best to try so you would have to just search the Internet for Arm based distros and see if you can find something that works.