Have you tried Firefokth?
If you can compile your lisp to webassembly it will run in the browser
If no then why nobody has made it already?
Because there are no websites with <script type=“text/x-common-lisp”> tags. No website require it so no browsers support it so no websites require it so…
If you want to write frontend code with a functional programming language, Elixir may be worth your time.
Not sure what you mean exactly. JavaScript, for better or worse, is sort of essential to the modern web. You could write things in Clojurescript, but that still compiles down to js.
There is Nyxt which is written and extensible with Common Lisp.
https://www.gnu.org/software/emacs/manual/html_mono/eww.html
1 Overview
EWW, the Emacs Web Wowser, is a web browser for GNU Emacs that provides a simple, no-frills experience that focuses on readability. It loads, parses, and displays web pages using shr.el. It can display images inline, if Emacs was built with image support, but there is no support for CSS or JavaScript.
To use EWW, you need to use an Emacs built with
libxml2support.

