Can tickets for the Tower of the Sun Museum be purchased at stations outside the Park, such as "Bampaku-kinen-koen" station on the Osaka Monorail?

No, they cannot.

Tickets for the Tower of the Sun Museum must be reserved through our website at least 1 day in advance of your desired tour date. On your reserved tour date you will pick up your tickets at the reception counter inside the Tower of the Sun Museum, whose entrance is located at the back of the Tower (on the side of the Black Sun).