Yes, just be sure to specify that you are requesting a transfer and NOT a new domain. You should keep the service with your current provider while waiting for InterNIC to complete the transfer process. We will provide you with a temporary IP address so you can mirror the site on our server. All email and web pages will still be accessed from your current site. When InterNIC announces the completion of the transfer there is a 24-48 hours propagation period where visitors could go to either site. At the end of the propagation, you will be able to have your site fully transferred.