Hey Cjm,
Unity3D is a great free game engine with a lot of support online, and lets you code things.
Unreal Engine is also great and free and instead of coding you drag and drop around little modules to make the code
It really depends what you're willing to put the time for. Theres also lots of 2D engines that simplify the process.
Getting started as soon as you can to try and make games the better you'll eventually be at it, learning any system is a step forward.
Hope this helps,
Rafi