No. The TiVo Premiere can only tune a maximum of two channels at a time regardless of the source.
Theoretically I suppose it might be able to simultaneously record 2 shows, copy a third from another TiVo or computer running TiVo Desktop, and let you watch something that comes in via the Internet, like Netflix or Hulu or something.With a multi card two channels and an OTA antenna (one channel) can you record three at once with a TIVO premiere??
Zig