Contuning to SA's Answer(which is comprehensive). As your concern is with Firewall then you first check what is it?
http://en.wikipedia.org/wiki/Firewall_(computing)
System Administrators can set multiple filters/restrictions using Firewall, But it's purpose is to prevent their Domain Network from security threats like hacking/data breaching etc.
If System Administrators wants they can block ALL the sites, But then question is why to have Internet? Regular HTTP and HTTPs sites are mostly does not blocked.
Simply check by accessing your site from Browser, if it is accessible then it will be accessible by your
HttpWebRequest
as well.