Is There a "Naruto: Broken Bond" Game on PS3?

No standalone game with that title. You're likely thinking of DLC/story arcs in the Naruto Shippuden: Ultimate Ninja Storm series:

• Storm 2 – "Broken Bond" DLC pack (adds Sasuke vs. Itachi fight, new costumes).
• Storm 3 – "Broken Bond" chapter in story mode (covers Five Kage Summit → War arc).
• Storm 4 – Includes all previous DLC; "Broken Bond" content integrated.

Best Naruto Games on PS3

1. Naruto Shippuden: Ultimate Ninja Storm 2
2. Naruto Shippuden: Ultimate Ninja Storm 3 Full Burst
3. Naruto Shippuden: Ultimate Ninja Storm 4 (also on PS4/PC)

All feature the "Broken Bond" narrative content.