I finally unlocked the "Shoot First" achievement using Indiana Jones and killed Greedo. I know that seems odd but it's also brilliant of TT Games considering both Han Solo and Indiana Jones are the same person.
Regarding Indie: Also, if you want to use Indiana Jones in Star Wars:TCS go to the Bonus area and watch the Indiana Jones Trailer inside the "Trailer" room. Afterwards, he'll be available for purchase inside the Cantina for 50,000.
He's comes equipped with pistol and whip