Sure! Users with admin rights and managers with the Create Event permission enabled are able to update the Event-Creator (Primary Instructor).
To do so, find the desired In-class training/ Live Session, click on the Manage Event option, and then Edit Event.
Under the Add Academy Instructors block, you can add instructors and select who should be the primary instructor (owner) of your event.
Don't forget to click on the Save button at the bottom of the page when finished!
Note: Non-admin users have the option to update the Event Instructor only for the events that they own.