No, EPiServer is based on ASP.NET so classic ASP includes won't work.

So do you know how to make a hit counter within episerver?

I am not sure what you would like!? An hit-counter for acticve visitors at the moment can be found in EPiTrace and Live Monitor. Both modueles are free for episerver cms 5 and cms 6(Live Monitor) these modules also have a very nice gui for displaying active visitors and on the page they are visiting.

If your ar looking for another hit-conuter you can probably find one if you google but be sure to search for asp.net counter

Thanks for the reply. I figured as much.. At my work they only have EPIserver4 - We would like to see how many users are looking at some intranet-pages in order to justify their existence.

I have editor rights, as in I can create and delete pages and give others permission to view them, but I don't think I can access the data behind, so then I guess I can't see this epitrace or live monitor.

As for another asp.net-counter, it seems I can't just use the code in the editor-gui and put it inside the html-code of a page, I need access to the database "behind".

have look at this techonote. Perhaps it would be of any help

http://world.episerver.com/Documentation/Items/Tech-Notes/EPiServer-CMS-4/EPiServer-462/Logging-in-EPiServer/