I didn’t expect this to work, but I seem to have found a way to achieve this.
By using a widget interaction component you are able to call Press Key using it and specify which keyboard key you want to press. If you pass in the Pause key (or whatever other key is your editor’s shortcut for pausing the editor) it will pause the editor just fine. I could automatically pause the editor/game when my blueprint execution reached a certain point using this method.