I think having the option to start with the all expanded or collapsed is a good idea, but I don't think it's currently possible. You'd obviously like all of the Advanced titles properties controls to open up in the green position instead of the yellow (which is the current situation):
For reference, the available hotkeys are shown by clicking on Designer in the Customize Keyboard Hotkeys menu:
You can use File | Rate Us & Provide Suggestions to submit your request directly to Cyberlink and maybe they'll change the default or add a user-controlled option in Preferences in a future release.