Yes, it is possible to beat the Oregon Trail card game by successfully reaching your destination while keeping your party members alive and minimizing losses along the way. Similar to other survival-themed card games, beating Oregon Trail requires careful decision-making based on limited resources and potential risks. Players must manage their supplies efficiently while navigating through various events that can impact their journey's outcome. Although beating the game requires strategic planning and calculated moves throughout each round of play, players can increase their chances of success by learning from previous attempts and adjusting their strategies accordingly.