What part of your app requires that it be "Chrome only"? There are tons of Javascript UI libraries that can handle date inputs cross-browser such as jQuery UI. http://jqueryui.com/demos/datepicker/
Yes, i am familiar with libraries, but since i will have physical access to all the user's computers (it's an app for a school's teachers) i though i might as well just support the newer browsers and don't support older ones at all. And i am also not a fan of libraries like jquery. Most of the modern browsers can do what they do a lot quicker.
And i should have mentioned, it is not strictly chrome only, but i have told all teachers to use chrome because firefox does not have date pickers yet. But the site is still completely functional in latest firefox and safari plus ie10 (provided teachers add dates manually). I just don't like using libraries at all. I try to avoid them until absolutely necessary. So much that i have never had to use jquery, or any other library for that matter. The app in question is quiet elaborate (feature wise) but still does not have a single file not written by me. It may not be the wisest thing to do, but it makes me comfortable to know exactly what my code is doing.