Yes, same what manydills said...
Every of the three central servers exist since the start of the game and will continue to exist (regardless if the server is empty or not).
But be carful with gameterms...
Click: make a run on Archives. If successful, instead treat it as a successful run on HQ.
I can make a run on an empty space and then use Sneakdoor to bypass the ice on HQ?
You can use the Sneakdoor to make a run. It's a paid ability.
The Click is the cost and the "make a run on Archives" is the effect of the ability.
Then there is the conditional ability with the condition if the run (started by using the paid ability of Sneakdoor) is successful.
If you look on a timestructure of a run, one step includes the point "run is successful".
(The step to check if a run is or is not successful comes before the step of accessing cards)
From this point everything else is decleared as a run on HQ.
Like accessing cards from HQ, but also upgrades in HQ root with conditions like "whenever the runner access... in this server".
You never interacted with (or bypassed) any ICE on HQ, because you passed all ICE on archives.
(bypass is a special term for an effect)
So when making a run on archives to get into HQ you have to tell at the start of the run that you are using the paid ability of Sneakdorr. You can not just start a run on archives and tell them later you are now accessing HQ...
Like Demolitionrun or Inside Job, the effect is "start a run".