Yes, you do have to be connected to internet to install this driver.
Please read the following document for details:
https://help.ubuntu.com/community/WifiDocs/Driver/bcm43xx#Installing%20BCM43xx%20drivers
** Changed in: b43-fwcutter (Ubuntu)
Status: New => Incomplete
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package b43-fwcutter 1:011-5 failed to install/upgrade: subprocess installed
post-installation script returned error exit status 1
https://bugs.launchpad.net/bugs/558447
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