Hello Cheezwiz,
Are you playing at home or other locations like office, work, etc. It might be company policy to block certain access for the user.
Alternatively try to lauch main.exe instead of launcher.
If update server and game server is on the same location most likely you will not able to connect if the IP is blocked. But if only IP and port on the update server is blocked. mostlikely you can still connect to the game.
try also to disabled your windows firewall for the mean time and see if you can connect (not recommended).
just try you luck

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If there is also other changes to computer let the community know. Any other information could help