unlikely - as digi pics are v directional... as i found out particuarly last night at a mates house... central london you might be OK though with a decent omni-directional aerial...
As digital tv distribution via terrestrial aerial is still patchy you'd prob find the picture quality varied depending where you were and you'd get total black out in some areas. Digital TV - other than cable or Sky can be so hit n miss with next door neighbors having different experiences