The short answer is yes. Websites are software.
“Static” websites are websites where every visitor sees the same content. Think of this as a brochure or advertisement that changes infrequently.
“Dynamic” websites show different content to different visitors. Dynamic websites also allow you to build applications with or without login capability. A good example of this would be a website where you login and pay your rent. The content is unique to each user.
In the context of software development, many modern software development projects are constructed in such a way that they run on the web (meaning they are access by navigating to a URL or web address) OR in a mobile application on your phone or both.