There is no reason why you can not delay vax your puppy too if that is what you would like to do.

Dogs interact with other dogs and what other dogs leave dehind (#2's) a lot closer then humans and so they can pass on disease so much easier. If your dog is not going to be a social dog then you might be fine not vaxing. I would definately wait till your puppy is a lot older to take anywhere if you don't vax though.

I have worked in a vet clinic and only ever seen one severe reaction to a vax and that puppy was fine after a couple of days. They don't vax anymore, but their dog does not leave home anymore.