Cant connect to Server using SSMS on my desktop
Try to run telnet from your local machine and use the following from command line 

telnet [servername/ip] port

ex:> telnet sql01 1433

This will at least verify that you can hit the server on the specified port. As well your local machine could have a firewall enabled or perhaps a 3rd party application that could be blocking your access?

You can consider it a successful test if after pressing ENTER your command window goes blank. (It has successfully started the telnet session - type some random characters to go back to your normal DOS prompt).

A failure would look like this:


  Connecting To sql01...Could not open connection to the host, on port
  1433: Connect failed