I got my first job in the UK when I was still based in the US. Got approached by a recruiter thanks to a CV I forgot I had uploaded on a UK job website, got called in for an in-person interview after three over the phone including one at 04.30am, and was offered the job. I didn't need a work permit, that probably went on my favour.
So yes, it is possible. Or was, anyway.
Good luck.