Seems not. I just found a missing book and tried turning it in to Booker and he says:
"Oh, someone dropped something? Well, umm...do you know who it belongs to? Uh, maybe..?
Ah! I'm sorry! You came here to ask if I knew...probably.
I, uh...can't leave the police station right now. Or ever. Can you search for the owner yourself? I-I'm sorry.
I'll try to be more helpful in the future..."
�� Oh, that makes sense.