The majority of UK Unis will offer some sort of Psychology degree.
Just be aware that 'a degree in Psychology' does not make you a psychologist - to work professionally in this area, you will need a Masters degree, a PhD and experience. And entry level graduate jobs in this area are thin on the ground. So you might also like to think what you are going to do with this degree.
Most social science degrees - including Law - do not need any specific A level subjects.
You might like to think a bit wider than just Psychology as a possibility.