There's a bloke round our way who uses a 1930's Hudson Terraplane as a regular drive, so it's perfectly possible. It's looked after by Ian Moss of Moss Motors, Chalford, so there's at least one garage that knows how to fettle them.
The Bonham's description suggests it is a "bitsa" ..there is a risk you'd end up with a "Q" Plate if the provenance could not be proven....
- which might possibly be an issue as I think it may mean that it would have to be subjected to a modern SVA test.