It does exist. Play fret 1 on either of your two E strings.
Play fret 8 on the A string.
Play fret 3 on the D string.
Play fret 11 on the G string.
Play fret 6 on the B string.
We ordinarily call these notes F but not if the context you are naming them from has shifted and the necessity of using the enharmonic name E# kicks in.
I hope that helps.
Cheers 
| Richard_close2u | JustinGuitar Official Guide, Approved Teacher & Moderator