Does the PSP E1000 Have a Built-In Camera?

No, the PSP E1000 (Street) does not have a built-in camera.

Sony omitted the camera (present on the PSP-3000 and PSPgo) to reduce manufacturing costs and hit a lower retail price point for the budget-focused E1000 model. The system also lacks a microphone and Wi-Fi physical switch compared to higher-end models.