There are – or should be - many foods that may meet the definition of "processed food" and contain no fructose. I can't name or confirm specific brands, but unsweetened bran flakes would be one such example. Some varieties of crackers would (or should) also contain no fructose.
There are of course many more processed foods that don't contain added sugars, and therefore would contain no added fructose. At least some of these could be considered relatively harmless in moderation.
I'm not a doctor, a dietician, nor am I a nutritionist, so take the following with the largest grain of salt you wish, but a diet entirely devoid of fructose doesn't seem like it would be particularly useful compared to a diet with moderate fructose intake, in the general case. On the other hand, I'm unsure whether avoiding it entirely would be particularly harmful, if you were so inclined (but again, I'll point out that I'm not a doctor and this is not to be taken as medical advice.)
There are of course many more processed foods that don't contain added sugars, and therefore would contain no added fructose. At least some of these could be considered relatively harmless in moderation.
I'm not a doctor, a dietician, nor am I a nutritionist, so take the following with the largest grain of salt you wish, but a diet entirely devoid of fructose doesn't seem like it would be particularly useful compared to a diet with moderate fructose intake, in the general case. On the other hand, I'm unsure whether avoiding it entirely would be particularly harmful, if you were so inclined (but again, I'll point out that I'm not a doctor and this is not to be taken as medical advice.)