The card that represents the nature of the situation is Strength, which shows a regal figure with the symbol of the power of law. This card makes us understand that, in determining the fate of your situation, there are precise rules to follow and that it is not possible to escape the consequences of our actions. This card also indicates that it is necessary to be balanced and fair towards ourselves and towards others.
The Page of Swords suggests that the underlying cause of the situation is the willingness to take action, to take initiative and to do something to achieve one's goals. This means that you will have to put in efforts to get what you want.
The last card, The Hierophant reversed, indicates that the solution to your situation will not be easy to find. You may need to do extensive research to find an effective way to achieve your goals. Also, even if circumstances don't seem right at the moment, you may still find a way to manage to win the competition.
From the three cards drawn to analyze the question with respect to Nature, Cause and Solution it can be deduced that the most likely answer to the question is Yes. If you follow the rules of the Strength, you will take the initiative as suggested by the Page of Swords and do thorough research as indicated from The Hierophant inside out, then there's a high chance you'll be as successful as your next-door neighbor in getting an exotic vacation.