Sure, but if ever a LON-BRN route will be reinstated, it would probably be from LCY. The only options for A319s are easyJet from LGW/LTN or BA from LHR and I don't see one of them coming to BRN. The standard steed of LCCs, A320/738s, are a no-go.
That is not to say that I regard LCY-BRN on BA much more likely.