Nope. The uni wants to bring in differential room rates, but there is massive student opposition to it, as well as practical considerations, for example, how do you decide whether a massive, draughty shared room in the Castle's Norman Gallery is better or worse than a tidy ensuite single in some 1970's monstrosity on the hill?
Anyway, if differential room rates did get accepted, it wouldn't mean cheaper rooms for those who share, it would mean more expensive rooms for those who don't. (i.e. the average price of a room would increase massively).