Well, you can actually clone a linux installation to a thumb drive and let it run off it (if your target computer supports booting from usb storage devices).
In this case it would be pointless, because you need a installed and preconfigured Stellarmate X OS as well as a Linux live cd with some tools for preparing the thumb drive as an actual harddrive (with ext3/4 and vFAT partitions) and clone the unmounted drive contents to it.
It would be way easier and more convenient to use by just installing on an internatl SSD.

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