No, the app gains access to your list of friends and subsequently posts itself into the message stream of your friends. After that, friends of friends, friends of friends of friends, etc.
It behaves exactly like a virus.
See also
Facebook Scam: "Southwest Free Flights" Will Comment Spam Your Friends http://t.co/7u093Sf via @mashsocialmedia @mashable
http://twitter.com/southwestair