Can I apply for a graduate degree in Cambridge (MPhil/PhD) after I have earned a Bachelor's from Oxford, or vice versa? I know that we can't apply to both simultaneously for undergraduate admissions. What about to each the other once we have completed our first degree in one? Thank you in advance.
There are no restrictions on doing as you suggest, and indeed, I know a number of people who have applied for (and completed) graduate courses at the University of Cambridge after an undergraduate course at the University of Oxford.