I have the same problem with my laptop at the moment. It was working fine yesterday, but I've since had the connection error message.
So far I've done the following steps: restart the computer, ensure firewall exceptions for laucher.exe and swtor.exe, reset/rebooted the router. Your help would be much appreciated.
Does anyone use Norton 360 btw? not sure how to safely navigate exceptions for that program, and I don't want to deactivate that firewall either.