...so it would be stupid if this works, but it's a stupid problem in the first place, so try changing the time on your computer to be within their operational hours.
I recall cheesing videogames with that back in the day, and the UI of a halfway decent videogame would put most govt web design to shame. Worth a shot?
That's not going to work on a website with restrictions like this. The restriction is set on the web server, not on the client. Limiting client access by what time it is where THEY are is not a thing.
On one hand, this seems unlikely to work because it's easier to check the server's clock for the time. On the other, it'd be a mistake to expect the government to take the straightforward option when there's a perfectly good ass-backwards way to screw it up.