It would probably be much easier to go from a regular LCD monitor and take that apart to do it, but I'm assuming you want to do this sinc eyou have a laptop laying around or something.
I don't think there would be an easy way to convert a laptop to do this (especially considering you'd need to supply power to the screen somehow too)
I've seen smaller low res screens made for purposes like this, but I don't remember seeing anyone using a screen from a laptop.
Unless you're really concerned about space, it would probably be easier, safer, and possibly cheaper to just pick up an LCD monitor as cheap as they are now.