I haven't tried it specifically on Fedora, but I'm pretty sure it should work fine.
The "Linux" versions of the game come bundled with a specific 32/64-bit version of the Java JRE (OpenJDK 7). The Java version is a stand-alone .jar file that should work on any machine that supports OpenGL and has Java 7+ installed.
Last thing I'll mention just as a FYI, is that the game doesn't come with any sort of installer or package support (.deb or .rpm files) - it's just a folder with the assets and an executable).
Happy to answer any other questions if you have them. Cheers!
