No. Porsche tried to buy VW, neatly made it but ran out of money during the financial crisis. VW took advantage and the deal reversed.

Note that Porsche SE used to own Porsche AG directly, but now VW owns it.

To quote your link:

In July 2012, it was announced that Volkswagen AG was taking over the Porsche AG automotive company completely, which bears the same name, but is only a subsidiary of Porsche SE.

It's a bit more complicated than that.. VW bought Porsche Automobile, but Porsche SE owns most of voting shares in VW. A good descriptor of the mess:

http://www.automobilemag.com/features/news/0911_porsche_and_...