Yes this is possible,
You could setup a link on a webpage for say "Call Sales"
have the word "call Sales" Link to
http://<pbx_ip>:5484/PbxAPI.aspx?func=make_call&from=<ext_num>&pin=<ext_pin>&to=<destination_number>
<PBX_IP> replace this with the IP Address of your 3CX Server
<ext_num> Enter The Extension number of the sales department (Example 10)
<ext_pin> Enter the Extension Pin Number
<destination_number> this is the number to be called from 3CX (The Customer)
Two Options
Option 1. - embed the full url with the destination number so that when that link is called, it will ring the pre-defined number each time
Option 2 - create a webpage so that people can visit and enter the destination number to call, soon as they enter the number and click call, it will then ring your 3CX phone and when you answer it will connect the call to the destination number
I have created a webpage already for this;
goto
http://www.3cx-phone-system.co.uk/contact.phpYou will see a box at the bottom "Request Call Back" this is connected to our Live 3CX system and when someone enters a phone number it will make our phones ring and then dial the persons number