Yes. Animal nose prints are as individual as fingerprints are for people. They do change somewhat with age, but there are recognizable patterns that stay constant.
The Canadian Kennel Club has accepted nose printing as a form of canine identification since 1938. There are also companies in the US that are starting to keep nose print data bases for pet owners. Some animal agencies are beginning to advocate getting your dog nose printed. They say it is more reliable than microchips that can become dislodged or malfunction, or tags that can be lost or removed. It is a very reliable means of identification.