The first card considered is the Six of Cups. This card represents a change of some kind, and is a symbol of a new beginning. It also symbolizes harmony and peace, and suggests that a change of residence for Luke would be good. It could also represent having the courage to face a radical change in life, in order to offer new opportunities and perspectives.

The second card is the reversed Five of Swords. This card represents an issue or conflict that may hinder a change of residence. It could indicate that Luke may be afraid of change and therefore not make this decision. It could also be a signal for Luke to carefully weigh all the advantages and disadvantages before embarking on such a significant change.

Finally, the third card considered is the Two of Pentacles. This card represents balance and logic, and is an invitation to carefully weigh all options before making a decision. He suggests that in order to choose the best solution, Luca should take the time to reflect on his long-term needs and goals and how a possible change of residence could affect them.

In conclusion, the three cards provide indications that Luca has a good chance of changing residence if they wish. However, they also suggest that he should be aware of the issues that could hinder the process and take the time to carefully weigh all of his options before making a final decision. Therefore, the answer to the question is: Yes, Luca has a good chance of changing residence if they wish.