Is it possible to access my script's properties/variables from in-game console?

I don't think so) Although

if it is a quest script you can get the variables by typing:

sqv MyQuestEditorID


IDK about properties or other scripts.

You can though the aps command, with the function you want to use but you will be adding a new script instead of using the existing one. Not sure if this will help in your case.

You can also see the properties attached to an object, selecting it in the console and typing sv.