Hi Justin :)
NME frontend renderer on desktop and mobile uses OpenGL(ES) 1.x at the moment (I think Hugh is doing work on an upcoming OpenGL(ES) 2.x renderer as well). Which means that as far as NME is concerned, the whole display list is nothing more than a 3D scene.
Extrapolating from that, and assuming that you'd be targetting only mobile and desktop platforms, it pretty much means that you could use any OpenGL function quite easily on NME.
Now, here's the issue: there's no opengl binding for Haxe that you could use on NME as of now. It shouldn't be hard to implement (maybe as an NME extension), because you could basically write a one-to-one mapping, but it hasn't been done AFAIK (there's an opengl lib on haxelib, but it seems dated and I haven't tested it). If you need only a subset of OpenGL, you might be done with it quite fast.
Maybe Joshua or Hugh will have more pertinent advices on that, I'm just starting with this whole stuff some, so I might be wrong!