I don't think so. All dogs are pack animals!! Which means that they should be part of a pack, even if it is only a pack of two. Although you should be the pack leader, you shouldn't be counted as one of the pack members! Watching my pack of Chihuahuas interact, they show so much attention to each other and give each other so much affection, that I just don't ever recommend having a solitary dog, whatever the breed.