There's no 'impossibility' about providing the infrastructure to go with the housing.

Hospitals, schools, et al, aren't power stations, Keith. They don't take several years to come on stream. Infrastructure isn't profitable, houses are. We know how to build hospitals, blah, it's not like they need a new, innovative design every time. But there is no political, economic, or social will to do so, because they do not generate profits. The government doesn't want to build them, businesses do not want to build them, and the 'people' don't want to pay extra tax to build or run them. If they did, 'they' wouldn't keep voting the Tories in!