They are related: The Heisenberg uncertainty principle is a consequence of a more fundamental fact that "measurement operators do not commute", which is the mat

They are related: The Heisenberg uncertainty principle is a consequence of a more fundamental fact that "measurement operators do not commute", which is the mathematical way of saying "measuring quantity A can result in resetting the expected result from measuring quantity B" (sorry, it is difficult to say something in normal English without it being imprecise). Contextuality is itself a more general way of thinking about non-commuting observables. If anything, I would say that the Heisenberg principle is a consequence of contextuality (but again, this is a vague handwavy statement).