You might not, but you probably do. The validation examples and input types are a case in point. Even on browsers where they work, the alerts can't be styled and the behaviors can't be controlled.
I think a more important point is that you should design your website to still be functional even if Javascript is disabled. Why? Because some users, such as those who use Tor, may have legitimate reasons to disable Javascript execution while browsing. Another reason is that Javascript-generated content can screw up your website's SEO when crawlers visit your site. Using Javascript for your form validation is okay if…
True, but irrelevant to the issue of "can you do X on the client side without Javascript?". I can imagine a Javascript form validator that somehow makes the form unusable with Javascript turned off, but I've sure never seen one.
And server-side validation is website 101 stuff that you should always be doing regardless of the front-end technology, not a counter to the many good uses of front-end validation.