Yes you SHOULD be able to.
Yesterday when I was raiding that Circuit City deal I came across a guy near my age with a kid. We got to talkin as he saw my Zelda shirt, and it came up that he had this 'nes' style SP and then also got one of those new brighter SPs. Well he got sneaky and used a triwing bit and swapped the two SP's screens so his NES one is very bright like the DS/Micro. Basically the screen is attached with a very small twisted ribbon cable with a small plug. I'm going to guess the same size and plugged jack screen sits in an old GBA so I'd give it a shot.