I expect so, but you can only fly it for non hire and reward on a PPL and of course you would have to have it as a type on your rating page. Once you have done an approved groundchool and the simulators (about a couple of months) and the base training you will then have it on your licence. But I doub't you could rent one with just an hour on type, so the rquired training to get to the stage you could, well with no jet experience - it would take a very long time. And then the CAA would take an interest and want to assess your operation. And you would have to find a like minded PPL because it's licensed as a two crew aircraft. And insurance?
Yes, its possible, but highly improbable.