Hi,
Yes, it is possible, and I can't see any problems with this. Universities are businesses and they are looking for bums on seats at the end of the day.
Go for it, if this is what you want to do. I'm sure you have many transferable skills.
I've noticed there has been cross-discipline areas of postgraduate funded research you might be interested in, such as English literature and medical humanities, but you might be looking to do something completely different.