No. The DNA numbers found by the AKC registration are for keeping track of lineage. In and of themselves they are not used to prove the breed of the dog.
American Kennel Club - DNA and the AKC
"This technology does not use actual genes, but other DNA sequences that are also inherited one copy from each parent. For this reason, your dog's AKC DNA Profile does not provide any information about the conformation of the dog or the presence/absence of genetic diseases.
Furthermore, AKC DNA Profiles cannot determine the breed of a dog."