No, not even close, thye Bunnies have won over 20 premierships, St George won 11 straight grand finals. They have won two premierships, the same as North Sydney. Canterbury, Penrith, Parramatta and Canberra have all won more premierships.
The best team in the NRL ever would have to be the South Sydney Rabbitohs because they have won the most competitions (20) But I would definitely say Melbourne Storm have been/are the best team in the NRL for the last 5 years. Although its hard to compare teams from different eras because training methods improve as does diet and also the pace and strength of the game.