Interesting question and honestly I don't think so. The web isn't separate from computers/programming generally, it's just a way of organising things to work.

Interesting question and honestly I don't think so. The web isn't separate from computers/programming generally, it's just a way of organising things to work. So learning core programming concepts from things like SICP is still a valid approach combined with working out the truly core parts and studying those. Once you know which core parts you want to study find the best book on them and go to town. I work with a lot of web developers who don't really understand HTTP even on a conceptual level for example and that creates issues because they don't have the correct framework to understand how to structure things.