language creation

Is it possible to write a programming language with an existing one?  I want to create a game creation program, and have it use it's own language for additional programming.  Something similar to Game Maker.

All the game programmers use lua because they are painfully ignorant of functional languages. Since this will be for game programmers I'd suggest make a game engine which is extendible via Lua. You could also use a language such as SML to build a meta language which they code in.