The answer would be no. Toad uses dbms_debug.execute internally to fetch DBMS Output only. Our code wrapping dbms_debug.execute is not surfaced for the user to access it.
We value our customer’s needs and every Toad version is created and designed with many user inputs in mind. Please visit the Toad Idea Pond to log an enhancement request for this feature. This site is solely dedicated to tracking customer enhancement requests and allowing the user community to vote on the most useful feature. The Development Team personally monitors this website and provides customer feedback on their enhancement requests.