Yes. We will never require you to maintain an internet connection to use Origin, and Origin does not need to communicate with Shaper servers for normal operation. You will always be able to transfer your design files to Origin using a USB flash drive.
However, connecting Origin to your Wi-Fi enables you to download updates that improve Origin and its core suite of features. You can learn more about software updates here. Wi-Fi also enables you to seamlessly pull both your own and community-created projects from ShaperHub.