Today programming is mostly about picking existing components and gluing them together. Those components are themselves mostly gluing together of other components, to many levels. While it is still possible to write code from scratch, that is usually not a productive use of time.
SICP is an awesome book, but it is probably better for a pure Computer Science course after you have had other courses.
The thing you use to “glue components together” is as much code as the components themselves are, and the techniques used in connecting them run the full gamut of programming skills.
SICP may not be the best pedagogical tool available today, because the space of options in programming pedagogy has changed, too. But the skills it teaches are no less relevant.
For example, I recently wrote a custom CSV parser because I needed something that did no heap allocation but without mutating the original character array (using explicit string lengths).
Usually CSV parsing doesn't matter, but when it does, it matters a lot.