Under Article 10, Paragraph 6 of the Austrian Citizenship Act, the government can grant citizenship to individuals who have performed, or are expected to perform, in the interest of the Republic.
Before you start the process, there are two major "deal-breakers" to keep in mind:
The short answer: No, you cannot buy it in the traditional sense. However, you can earn it through 1. Citizenship by Merit (The "Investment" Path)