The following paragraph is taken from the website verbatim:
Due to the minimum amount of time needed to prepare a puppy or kitten to meet the requirements of the 5-Day-Or-Less program, a puppy or kitten will be about 10 months of age by the time the preparations are completed. Puppies and kittens not able to meet all of the requirements for the 5-Day-Or-Less program will be quarantined for 120 days.
Basically the kicker in getting a dog into Hawaii is the fact that it needs to rabies vaccinated twice in its lifetime, with the most recent vaccination coming not less than 90 days before import. A rabies anti body test is required, and if the dog passes the anti body count, it can be imported 120 days afterward. So basically, juggling all the information on the site, if the rabies vaccination and testing process started at 3 months old, the pup would be around 9-10 months old before it could enter Hawaii.
What does this mean as far as trying to import a puppy from Japan? Well you will miss the puppy stage of your dog's life, and will not be there to guide it through its training and socialization. No breeder is going to have as much time and energy as you do for your dog (I'm assuming here that a pup would be staying with its breeder till it is around 10 months old). This is also going to drive up costs because someone will need to feed and house this pup for around 8 months. Kenneling dogs is not cheap here in Japan. When I'm asked to do it I charge 2,000JPY/day or 30,000JPY/month and I'm unaware of anyone doing it any cheaper than that. But with the huge responsibility involved with keeping a dog here at my house for 8 months... I have yet to say yes to helping with a Hawaii export.