I'm pretty sure you could squeeze a couple of tiny slimline LED's in there somewhere and get them illuminating, although it will likely look a bit ugly as the factory lights are built flush against the frame of the glass that makes up the display, so it gives a very uniform, bright and consistent glow. Adding other LED's should still light it up, but it will be splotchy and have a dark center most likely.
You know what, I'll be the guinea pig for this. I have heaps of various blue LED's and all the tools I need to try (I do a lot of electronics stuff on the side for fun). I've been meaning to take another jab at my radio, so I'll disassemble mine again soon and do some experimenting. Give me a week, I'll get back to you on how it looks