When you say lid I presume you mean the outside? But you also mention the screen?
Regardless of whats broken a specialist company could do it or the manufacturer but it would be rather expensive and unless its a really expensive laptop it might not be economical to fix.
You can buy the parts yourself - sometimes depending on the make of the laptop but I've stripped a laptop before and because of all the bother I had reassembling it as well as the differculty getting parts I probably wouldn't do it again.
So its possible depending on the make.