Yes ME will run and connect with NT. Are you are talking about directly connecting to your server or on a network. A network I am guessing with NT. You can connect through a network hub using a standard (RJ-45) network cable. You can create a password on the server for the ME, add the proper protocols such as TCP/IP (NETBeui), set the IP and subnet and logon.
If you are talking about connecting directly with an NT machine, you can use a crossover cable. If you could give more information, I would be happy to try and guide you in the right direction.