This is an image of a Rubik's Cube I found in the Men's Toilets during the first day of a big Scrabble tournament.

This position is impossible for the standard Rubik's Cube (White/Red/Blue opposite Yellow/Orange/Green respectively) for any number of reasons.

Is this position legal for at least one non-standard Rubik's Cube? (i.e. with different permutation of White/Red/Blue/Yellow/Orange/Green)?