Yes, there are no legal restrictions on buying real estate properties in Japan for foreigners. There is no need to have a Japanese citizenship or permanent residency (Eijuken) to buy a house in Japan. However, owning a property in Japan does not entitle the purchaser any special status such as a Permanent Resident Visa.
While it is possible, many local real estate agents in rural Japan do not conduct online property viewing and will only accept buyers who can actually visit the property in person. There are exceptions (more likely in bigger cities) so please contact us if you wish to purchase a particular property without vising Japan.
No, you don't need to move in Japan and you are not required to have any residential registration in Japan to purchase a property in Japan. By Japanese law, you may purchase property for vacation use, investment use and residential use even you visit the property only once a year.
Please note that most Akiya houses listed on the Akiya banks require the buyer to relocate to the city and town where the house is located.