My understanding is that dukkha is contingent upon craving. Craving is the ingredient which we can influence. Without this ingredient the resulting recipe will not be dukkha. This is not the same as saying that craving causes dukkha. There are other ingredients necessary which we do not have clear control over. Causation is a mysterious concept.
"Beautifully taught is the Lord's Dhamma, immediately apparent, timeless, of the nature of a personal invitation, progressive, to be attained by the wise, each for himself." Anguttara Nikaya V.332