Problem with post preview

Hi, when an uncategorized post preview is created, the default category is assigned.
I think this is a problem for people who post by mistake in the wrong category.
Is it possible to prevent the creation of the preview before having selected a category?
Is it possible to prevent the saving of an automatic draft, before having selected a category?
Is it possible to create the same if there are no tags in the post?
Thanks for your work!