Good Afternoon Kapitoshka,
You have asked a big question.
There are many posts on here about packaging hazard analysis which may give you some guidance.
Your question suggests that you produce containers for products including machine oil, you may also produce food packaging as well.
Without more information, I can't be too specific, but here are some general points to maybe help you start.
My first piece of advice is
not to use the term "
HACCP". To use
HACCP will lead you into a narrow interpretation of the product safety hazard analysis which is what you really need.
Think instead of what hazards could affect the way that your products are used by your customers and their customers.
These could be chemical and physical. As you suggest microbiological hazards for a low hygiene risk are essentially zero. These 3 hazard types are what you will identify in a traditional
HACCP study.
However, for packaging there are additional hazards relating to how your products perform. These can be grouped as "Functionality" and "Legality" hazards.
Again without more knowledge of your products, I cannot give precise examples, but they could be container seal integrity, strength, correct print etc
Are you working towards certification to a Standard such as BRC/IoP