Probably not. First, if you search InTrade you won't find anything related to LivingSocial. Second, it's not legal for anybody in the US to bet via InTrade[1], and Privco is a US company with it's founder Sam Hamadeh based in New York[2].
[1] http://dealbook.nytimes.com/2012/11/26/after-regulatory-sanc...
[2] http://en.wikipedia.org/wiki/Sam_Hamadeh