How do you know who the people are? Presumably, the app would create blogs, facebook pages, linkedin, twitter, etc. Passing a phone interview would be harder, though not impossible. You might need really good voice recognition. Speech generation probably wouldn't be insurmountable.

In person, this might be trickier. This might require a robot mannequin. Alternatively, you could hire an actor with wireless ear plugs. Presumably, the computer would tell the actor what to do.