More about King's College London
I think those type of courses are directed at UK students, since the purpose is for the students to transition into work wherever they are placed, and they therefore cant take on international students who dont intend to/arent allowed to work the required amount of hours or stay in the country upon graduation without a visa.
There are, however, a lot of other medicine related programs you can apply for as an international. If you are in doubt, I would email and ask about the specific program you are interested in. I am sure there are graduate medicine programs at other universities that admits internationals.