Yes, it is possible to access the deployed REST web service from another machine using the below URL format:
When the browser prompts for an authentication, I would make sure that the right credentials are given in order to access the Published REST web service.
For this scenario, I would also ensure that the following checks are done before trying to access from the different machine:
* Check whether the firewall is blocking to access the URL. In such cases, the firewall must be configured to allow the connections.
* If the SSL is enabled in the host machine, then I would import the necessary SSL certificate in my local machine.
Hope this helps!