I'm a PM turned programmer, I did both.

I started with Harvard's CS50 and web programming in Node independently, and I ended up with a masters in software engineering and can now push production-ready code (mostly in React/Node by choice, although studying university-level classes has exposed me to different paradigms and languages: C, Java, OCaml...)

I whole-heartedly recommend concurrently studying first principles and a couple of applied technologies. They serve different purposes but are ultimately connected in the big picture. University courses very rarely teach how to make real-life projects. Conversely, learning real-life technologies rarely shows you the theoretical principles that fuel them, at least not explicitly. React/Redux for example have really interesting ideas on managing state drawn from functional programming. To churn out React code, you certainly don't need an FP course or formally studying the pains of managing state in programs, but I found it to be immensely helpful. Same with many other areas: studying systems and networking will help you with many back-end technologies, compilers can help you understand many different programming languages, etc.

I don't think there's a program that teaches both, because it's probably impractical to design it. Simply pick one theoretical route like Teach Yourself CS and a couple of applied technologies, and work on them simultaneously.

You could certainly try to start learning to code with SICP and go from there, but for the most part these resources will be much more valuable to those who have some prior background in programming.

Agree/disagree, but after doing SICP myself, following other methods and making projects at the same time (or working on things I was interested in) forced me to learn a lot more than just doing some assignments in a language I would never use again.