Hello,
It is possible but it will take some equipment and research. You need to search out TVRO information and also DVB information.
There are two bands of interest. C Band (3.7 - 4.2 GHZ) and Ku Band (11.7 - 12.2 GHz). C Band requires a 6 foot dish and up depending on where you are located, satellite footprint, etc. A 10 foot dish allows good signal separation from adjacent satellites. Ku band requires a 3 foot dish and up. It is possible to have a dual band feedhorn for a combined C/Ku system.
There are sites like Lyngsat that have listings of what services are on a satellite.
http://www.lyngsat.com
It appears that NBC uses C band on the AMC4 satellite for their feeds using DVB digital signals. You can get receivers like the Pansat 2500 or Pansat 2700 to receive unencrypted DVB signals. DVB uses MPEG2 encoding.
http://www.global-cm.net/mpeg2central.html
A DVB receiver with a 3 foot Ku dish is popular to recieve various ethnic programing on Intelsat Americas 5. I have dealt with Mike Kohl from Global Communications who has years of experience with C and Ku TVRO.
http://global-cm.net/
Ku band is an interesting band for "DXing" as it is used by the Satellite New Trucks for remote reports. NBC and other networks use Ku to distribute news stories to the affiliates. Syndicated programs are also distributed using Ku band. Ku band is more like the VHF-HI or UHF Business Band and C Band is more like the FM Broadcast Band.
I have a 7-1/2 foot dish and can receive both C and Ku. I also have a DVB receiver. Like scanning it can be an interesting facet of the radio hobby.
73 Eric