Well not to say an industrial designer should be able to comprehensively master web design, but it is definitely a plus if you can handle basic HTML + CSS and plugin scripts. It shows an interest in digital media and in many studios the designers manage the company website as well.
If you are setting up your website right now, it is a good tip to get a more custom extension besides .com, .eu or .net.
How about .design, .pro, .tech, .space, .app, .art, .box, .ink, .science, .top - these are available now.