"different home" you are refering to a long destance then. No unless you can get an ethernet cable connected or a really strong wifi repeater wich are really expensive. Buying another "box" will be cheaper.
I have a ethernet cable box for the tv can I hook up another from this to a different home
You need to check with your service provider, but all I know off will not let you use the same account on different addresses. Although you may want to specify what this "Ethernet" cable box is? Is it actually a cable TV converter or are you talking about your modem or router?d