No. The Sims 2: Pets (PSP) **does not have Build/Buy Mode** or free-form house construction. It is a **linear, story-driven "console-style" port** distinct from the PC/PS2 versions.
| Feature | PC / Mac | PS2 / Wii / GC | PSP |
|---|---|---|---|
| Build/Buy Mode (Walls, Rooms) | ✅ Full | ✅ Full | ❌ None |
| Create-A-Sim | ✅ Full | ✅ Full | ❌ Preset only |
| Create-A-Pet | ✅ Full | ✅ Full | ✅ Full |
| Open Neighborhood | ✅ Seamless | ✅ Load Zones | ❌ Menu Travel |
| Story/Goals | Optional | Structured | Linear Campaign |
If you want building: Play The Sims 2 on **PC (Ultimate Collection / Super Collection)**, **PS2**, **Wii**, or **GameCube**. PSP version is a pet-centric adventure, not a house builder.