Hd On Tv2 Dish Network I Have A Dish Network HD/DVR Reciever. Can I Run Coax From That Reciever And Have A HD Signal?

I have a dish network HD/DVR reciever. Can I run coax from that reciever and have a HD signal? - hd on tv2 dish network

The receiver TV1 and TV2 and outputs for each. TV1 HDMI is connected to an HDTV from Samsung. TV2 coaxial cable into the next room (kitchen). I want the kitchen to have high definition because it is 20 "Vizio HDTV.