No, I don't think white boxers are any more prone to allergies than other boxers. Nobody has ever done a study or a decent survey to find out, of course, but really, we get so many posts about allergies and skin problems on this site, we'd tend to get a feel for things if there was a colour relationship - and there really is no sign of one.
Since the dog is white though, you probably notice his red itchy skin more than you might if he were coloured (and without white areas round the face and feet).
Anyway. The cause of his problems is almost certainly allergies. Allergies can be environmental or they can be food-related, and often are a mixture of the two. You already know he has a problem with chicken... but other *very* common problems in dog food are low quality grains, corn, wheat, beet pulp and soy.
Nutro is an OK dog food - but really only a mid-range food. It's not the worst out there by any means - at least there's no corn and wheat. But that food still contains a number of low quality grain fragments and controversial ingredients like beet pulp that commonly cause the sorts of problems your dog has with itchy red feet.
How about trying a high quality allergy food instead? Something like California Natural lamb/rice is a much better food than Nutro, and contains no waste ingredients at all. It's lamb, rice and sunflower oil. Alternatively, Natural Balance make at least one formula (duck/sweet potato, I think, or else it's the fish/sweet potato) that contains no grains at all (and grains are usually the problematic ingredients in dog food). Another good option could be Fromms Four Star (excluding the chicken formula, since he can't have chicken - but there's still three others to choose from).
Lastly - if it is only chicken in the meat range that he has a sensitivity to, then it would probably be a good idea to give him a variety of different foods if you can. The thing about allergies is that they are rarely a case of being allergic or not. That's true in some extreme cases, but the vast majority of allergies are actually things that build up over time, and with constant exposure. The fastest way to develop a food allergy to lamb, for example, is to feed it every day for an extended period
Just as is the case for people, it is better to feed as wide a variety of different things as possible, which helps prevent the sort of constant irritiation that can end in allergies developing.
