Your body needs sugar (through various sources like carbs, or protein)... so sure if you cutout sugar, you won't get cancer (because you will die of malnutrition).
I'm not sure what "industrialised oil" is... how does it differ from regular oil? What about it in particular that makes it carcinogenic?
Jobs also didn't have cancer until he was an adult... are you suggesting he had some how set his body up into a condition ripe for cancer to develop? That implies that if you've ever tried "industrialized food" (in your entire life) it's already over for you, so don't worry about it.
What about children born with cancer? Is that because of their mothers diet (or their mothers diet when their mother was a child herself)? Simply by following your reasoning I've just ruled out a HUGE proportion of the population who don't have to worry, because the damage is already done.
Do you have any academic sources on the subject?