I should think so, Dave. This RSPB page gives a distribution map and says:

Hooded crows can be found in N and W Scotland, N Ireland and on the Isle of Man, where it replaces the carrion crow. Outside the breeding season it is found across the breeding range and is also found, but scarce in E Scotland and even rarer down the eastern side of England. Most of the winter visitors come from Scandinavia.

I’m guessing they might occasionally stray a little further than that, say into Cumbria but I’d also guess that your chances of seeing one in most of England is virtually nil.