No. The DLC for Tomb Raider: Underworld was exclusive to Xbox 360 and PC. The PS3 version received zero downloadable content.
Microsoft paid for timed exclusivity (standard practice 2008–2009). By the time exclusivity expired, Eidos/Square Enix didn't port them to PS3.
If you own only PS3, you're locked out. Best path: buy Underworld on PC (includes DLC) or play Shadow of the Tomb Raider (modern, all platforms, complete edition).