If this is a corporate system, then work with your manager and with corporate IT to get the blocks removed for these systems; you have a legitimate use and legitimate need here, and IT is blocking that.
If IT is unable or unwilling to whitelist or enable that access for individual OS X systems, then setting up an OS X Server system with Software Update or a Linux or other system with Reposado might be an option. (For those OS X versions that can acquire updates locally.) Enanble the OS X Server or Reposado server for firewall access.
If this is a personal system (and assuming IT policy forbids connecting personal systems on the corporate network), then you'll need to do the upgrade elsewhere; at a coffee shop, library or Apple store.
Based on some other postings around the forums — I have not tried either of these links! — the downloads are (or were) apparently available via Apple's content delivery servers at the URLs:
swcdn.apple.com/content/downloads/53/02/041-8081/2jwp4wjrwygtm4lc608qy4h0n4a9yyq 37g/Safari6.0.2Mountain.pkg
and:
http://swcdn.apple.com/content/downloads/24/27/0418084/dr1bfkb54jdws7xmot4l24qxj bjhxkzk8p/Safari6.0.2Lion.pkg
There are cases where these URLs get spaces in them, so check for that if you get download errors.
Do work with IT if these are corporate systems, as IT is blocking vendor-provided security updates, and that sort of thing doesn't look very good on the IT director's and CIO's resumes.