Is it possible to eliminate addiction to sleeping pills and regain natural sleep?

It's possible. Obviously, we have to assess each case independently ; we can't generalize from this.

It's possible to regain a natural sleep pattern , provided we don't have physiological insomnia. In the latter case, we would inevitably need medication to extend our sleep hours, but this doesn't mean that what we take has to be chemical. There are natural remedies, such as herbal medicine, and, first and foremost, good sleep hygiene, which can greatly improve our sleep and allow us to reduce our reliance on medication.