No. There is no limit to how much a player may win playing in any of the games.
However, currently, the top prize available for a single play of any game using Gold Coins is 125 million Gold Coins and the top prize available for a single play of any game using Sweeps Coins is 1,250,000 Redeemable Sweeps Coins.
Also, any player may play as many games as they choose, and as often and as many times as they choose. However, to play games, players first must create an account on the Golden Hearts Games website, and then acquire Gold Coins or Sweeps Coins.