Can Parliament extend or exclude the jurisdiction of a State's High Court over a Union Territory?
No, the context does not support that claim. In fact, it directly contradicts it. The text specifies that "nothing in this article derogates from the power of Parliament to extend or exclude the jurisdiction of a High Court for a State to, or from, any Union territory or part thereof." This means that if there's a conflict between a state's High Court and a union territory, it is up to the parliament to decide whose jurisdiction prevails.