Yes, easily. The Xbox 360 outputs via HDMI (Slim/E models) or Component/Composite/VGA (all models). Match your projector's input.
| Projector Input | Xbox 360 Output | Cable / Adapter Needed | Max Quality |
|---|---|---|---|
| HDMI | HDMI (Slim, E, Late Pro) | HDMI Cable (Included with Slim/E) | 1080p / 60Hz |
| HDMI | Component (Early Pro, Core, Arcade) | Component → HDMI Converter (Active, powered) | 1080i / 720p |
| VGA (D-Sub) | VGA (All via Xbox 360 VGA HD AV Cable) | Official MS VGA Cable (Discontinued, buy used) or 3rd party | 1080p / 60Hz (Best for older projectors) |
| Component (YPbPr) | Component (All) | Xbox 360 Component HD AV Cable (Included with Pro/Premium) | 1080i / 720p |
| Composite (RCA) | Composite (All) | Xbox 360 Composite AV Cable (Included with Core/Arcade) | 480i (SD) – Avoid |
Xbox 360 + 1080p Projector + 100"+ screen = Amazing big-screen gaming for cheap.