There is some sort of an agreement, but would not call it exactly gentlemanish...
As long as you are employed by QR, EK HR will not process your application, unless off course you are connected well and truly high up!
So you will have to resign from QR, get out of the gulf region and re-apply at EK!
FYI, did you know that QR as your sponsor could block your transfer for 6 months to go no matter where inside the GCC?
So far no agreement between EY and QR.....this explains the exodus from QR!