No. The Sims 3 on Xbox 360 uses a menu-based "Choose Action" system—you select interactions from a radial/pie menu. You do not walk the Sim directly with the analog stick.
The Sims 2 on PS2 did feature direct control (move with left stick, interact with buttons).
If direct control is essential, play Sims 2 (PS2/PC) or Sims 4 (PS4/Xbox One — full direct control).