I'm pretty sure it is possible in AppGameKit
somehow, But not in real-time and for non real-time lighting you better use model programs which bake light-maps.
I'm also sure there are games which use GI today but then they cheated it in(there are some techniques to simplify it like voxel cone tracing) ...or it's the Crytek engine ^^
I think someone made a demo for DBpro ...
GI is used in ray tracing engines and render film scenes where you don't need to calculate it 30-60 times per sec..basically it's still a hardware problem for good real-time Global Illumination.
And I don't want to tinker with stuff nobody will use because it is so demanding that it can only run on very good hardware : )
Better try Ambient occlusion
Hm Ambient occlusion is a kind of GI ...