By that definition almost all people who call themselves software engineers would be wrong. That doesn’t automatically mean, you’re wrong though.

Personally, I disagree with your definition of software engineers needing to directly interact with hardware stuff in order to be engineers. Wikipedia defines software engineering as

the application of systematic desciplined, quantifiable approach to development, operation and maintenance of software and the study of these approaches; that is, the application of engineering and computer science to software.

So it’s all about the systematic approach to complex systems, not about whether or not you directly interact with hardware interfaces.