Yes - in a roundabout way.
If you go to
http://www.caa.co.uk/docs/33/Ca1%20FFenabled.pdf - this is the registration form for the UK Aircraft Register. Go to section 11 and look at the various ways in which you could register an aircraft.
If you don't tick any of those boxes then you would need a UK management company to register it for you and they would have a contract allowing them to register it for you (assuming this is a business jet?)
If it's a light aircraft then I suspect it wouldn't be that economic to have a management company (but you could probably buy a company off the shelf here to "own" it for a couple of hundred quid and a good accountant to manage the company (or at least do the annual paperwork for you).