"Bios Ex Nihilum, latin for 'Life From Nothing'"
No, it isn't. Bios isn't even Latin, and the Latin phrase for "from nothing" -- a fairly common phrase because it comes up in theological discussions of creation -- is ex nihilo.
Game designers: the fact that you have a dictionary of a language doesn't mean you can construct actual meaningful phrases in that language, especially if it's a highly inflected language.
Googling around I find that there's a World of Warcraft guild called "Ex Nihilum," and the phrase occurs in the lyrics of a song by noted Latin scholars Gorguts, who also seem to have studied at the Tweet and Rein*Hagen Academy of Latin...
Nihil appears in Latin in two forms, the indeclinable, and a second declension neuter form nihilum. The latter can only appear in the ablative case (nihilo) after the preposition ex.
You want to put Latin in your game and all you've got is a dictionary, or vague, half-remembered High School Latin? Give me a call, I'll do my best to help.