This is actually in A minor. It is possible that some incredibly talented set of musicians might be able to do this. The violin solo near the end is insane. You're supposed to do it with two hands on the organ, but you would have to be a timing machine to manage that with two violins.
Supposedly the Fugue was originally written for violin. Someone else has made a transcription for the violin in A minor, so I wanted to see what that might actually sound like.
Check out the wiki of the fugue for more info.