No. The internet and the World Wide Web are different things, even though people often use the words interchangeably. The World Wide Web Consortium (W3C), the body that sets web standards, describes the internet as a global network of networks defined by the TCP/IP standards, while the web is an information space in which resources are identified by URLs (more generally, URIs).
In practice, the web is one service that runs on top of the internet, built on three original technologies: URLs, HTTP, and HTML. Email, file transfer, video calls, and online games also travel over the internet without being part of the web. The internet’s core protocols date to the 1970s, while Tim Berners-Lee proposed the web at CERN in 1989.
Source: W3C Help, “What is the difference between the web and the internet?”
Image: The NeXT computer used as the first web server at CERN, by Coolcaesar, CC BY-SA 3.0, via Wikimedia Commons.
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