Display macbook change possible
Apparently yes, you can do it. iFixit is selling a compatible screen for ~99$ and this screen is compatible for the both (Pro / Unibody).

Screen : 

https://www.ifixit.com/MacBook-Parts/13-Inch-Unibody-LCD-Panel/IF163-024

Fix tutorial :

https://fr.ifixit.com/Guide/MacBook+Unibody+Model+A1342+LCD+Replacement/2988