This would be particularly so if he had knowledge of the drainage tiles or the patio. Liability for negligence could result. The law of nuisance deals with the use of one's property in such a way that it unreasonably prevents the enjoyment by a neighbour of their property. In either case, a tree that was there before the houses is unlikely to result in liability. A tree that was planted subsequently and within the danger zone of the neighbour's drainage tiles or patio could result in liability.
Trees being what they are, they often drop things.
These things may consist of sap or limbs. If sap consistently falls on the neighbour's car the neighbour will become annoyed. If the tree is very old and predates the neighbour's parking pad then the tree owner is not responsible. The same may be said for a falling limb provided that the tree owner had no knowledge of the state of the limb and it could not be expected that he would reasonably have such knowledge. However, a fast growing tree planted next to the neighbour's parking spot could result in liability for any damage.