Base58Check encoding: Using for Version 4 UUID?
Nothing is preventing any sort of data from using Base58Check encoding, but I'm not sure why you would want to. There's already a multitude of 'altcoins' using a variety of address prefixes though, so you might run into issues should one of them become a real-world success. 

In reality, I'd just avoid having users typing a UUID-type string at all, then you don't need to worry about having the typing friendly characters and checksum.