One More Detour on the Writing Road

Before I search further, I'll toss out a general question. Do/Can internet cafes and other public places log the IP addresses of folks using the service and could law enforcement use that info to track/trace a person of interest? IOW, if you take off, toss your laptop over the nearest bridge and use public?

Ok, the Old Spice commercial with the centaur is just plain creepy.