Can you store JavaScript and CSS files in localStorage to improve the performance of an online web app?

I'm working on a web application, which acts pretty much like a native application for both iOS and Android. However the Javascript files (jQuery + my own) and the css file together are pretty large for mobile use, which make the app slow to load if the user doesn't have 3G enabled.

Calculating usage of localStorage space

I am creating an app using the Bespin editor and HTML5's localStorage. It stores all files locally and helps with grammar, uses JSLint and some other parsers for CSS and HTML to aid the user.