This is amazingly possible, based on what I currently understand.
AI models created historically inaccurate depictions of famous people when fed faulty data and if they self check this data , they would place it in their database as correct and factual, but fake news.
This fallacy is also demonstarted by AI adding non-edible and potentially harmful ingredients to foods because they change the consistency to desirable consistency without regard for harmful effects of adding concrete or other inorganic substances to food. A self database assembling AI would add these errors to it's database to be buried insode complex instruction sets, which would probably be adopted and not sufficiently checked by lazy humans.