The simple answer to your question is no. The way to detect for JavaScript is JavaScript. For instance:

1. Code a page that sets a cookie in javascript and then redirects them to the page with your perl script.
2. Display your perl functionality only if the cookie is present.

For more info, see Danny Goodman's Detecting A JavaScript Client

EDITORIAL
Personally, this is not something that I would do. I find it much nicer to provide functionality to visitors that don't want to use JavaScript. Most things done with JavaScript are best left to porn websites.