Yes, there are positions which combine product management and technical work. These positions are often called "technical product managers."
As a technical product manager, you would be responsible for both the technical aspects of the product, such as the software or hardware, and the product management aspects, such as the product roadmap, pricing, and market analysis.
Technical product managers often have a background in engineering or a related field. They use their technical knowledge to help guide the product development process and make sure that the product meets the needs of the customer.
If you're interested in a career as a technical product manager, you can learn more about the skills you need and the job outlook in this article from the Bureau of Labor Statistics: https://www.bls.gov/ooh/management/technical-writers.htm#tab-4