jQuery is usually the core functionality for most sites, most that I create are based solely around jQuery. Though, on larger organizations' websites, they usually tend to use JavaScript for animation, this is a dependency based on what sites you visit.
What you want to do, could probably be done through Google Chrome, on a custom built extension that voids all <script>
tags that have the word 'jquery' in their sources, and replacing them with your own library hosted on a server, or through the official jquery CDN. I did do a search through the Chrome webstore, and did not find anything that does this, but you could request a developer to build an extension that does do this!
Though, Google's jQuery sources are usually open to everyone, unless the kind you are referencing is on a gstatic.com domain.