If you have access to an "in between", you could probably do something with this (or a similar class in the language of your choice):
http://www.phpclasses.org/package/3278-PHP-Parse-and-extract-event-information-from-iCalendar.html
and jQuery Week Calendar, which is great:
https://github.com/robmonie/jquery-week-calendar
You would basically just convert the iCal format to JSON on the fly in a PHP script.