Assuming you have the entire URL entered correctly, accessing an http:// (port 80 - no SSL) web site or https:// (port 443 - SSL) web site is basically the same process from the "using your browser" point of view. Unless, you are trying it from a location (your office, etc...) where outbound SSL connections are not permitted.
Seeing the exact error message you receive will provide more clues.
Could be a DNS lookup issue as well. For example, trying to hit https://mysite is different than trying to hit https://mysite.mydomain.tld. Unless mydomain.tld is in your search path the http://mysite approach will not work.