No, you must be connected to the Internet to access Google Apps. Google Apps runs as a cloud-based application which requires online access.
Using the Cloud
"Cloud computing is simply the act of utilizing a network, usually the Internet, to store information that you want to access from multiple network devices. By utilizing “The Cloud,” you can get to any of your uploaded information anywhere you have access to the Internet."
~Global Community Foundation
Learn more by visiting; http://www.gcflearnfree.org/usingthecloud