Is there a requirement for having 3 pairs in a poker hand to win the game?

No, having 3 pairs in a Poker hand does not meet the standard hand rankings and would not win the game. In poker, the highest ranking hand is a Royal Flush, followed by a Straight Flush, Four of a Kind, Full House, Flush, Straight, Three of a Kind, Two Pair, One Pair, and High Card. Having 3 pairs does not fit into any of these categories.