Yes you are right: electrical engineering knowledge provides a base for the medical equipment field. I myself started off my career as such along with ninety percent of my colleagues.
There is a catch however. Newly graduated engineers sometimes cannot find jobs because of lack of experience.
I recommend that while you are studying try to find some company where they will let you do professionally related volunteer work to gain real life experience and get to know people and make contacts.
This and the previous posting are meant to be just general advice since I am not familiar with the situation in the UK.