It couldn't hurt to try. However, I just don't think any digital projector exists, other than the very high end (IMAX, Dolby Cinema) laser projectors, that are capable of getting a deep enough black level while having the "window" be bright enough. Even standard laser illuminated projectors can't do it. The very expensive, high end projectors utilize two imaging chips in the light path for each primary color. The first chip "dims" the source light in dark areas of the frame and then passes the resultant light along to the high resolution chip that creates the actual image.
The effect could also be accomplished with a high resolution direct view LED display like a "jumbotron" or video billboard. The off pixels in those are completely turned off. This method would require that area of the back wall to be video all of the time, including when the corridor is lit up. Maybe a high end OLED TV would work if they can do a real good anti-reflective coating on the screen to prevent reflections from other effects going on.
I'm not sure how it is done currently. Is it a real wall and then the projection is on a scrim or something when the corridor darkens?