The first card we have considered is the Three of Pentacles. This card represents a period of stability and prosperity, indicating that one can undertake new projects and be successful in doing something good. So, in regards to your question, this card indicates that there is a good chance of moving to a bigger city for professional reasons.

The second card is the reversed Six of Cups. This card represents a period of stagnation or loss, so it's not a very encouraging sign. It also suggests that things won't go as planned or you won't get the desired results. Therefore, in regards to your question, this card indicates that there is a risk of failing to move to a larger city.

The third card is the Ace of Pentacles. This card symbolizes a period of victory or success, so it is a positive sign. Furthermore, it suggests that one can achieve success in tackling the challenges set before them and thus achieve one's goals. So, in regards to your question, this card indicates that there is a chance to succeed in moving to a bigger city.

The last card is the reversed Two of Pentacles. This card symbolizes a time of instability and uncertainty, so it's not an encouraging sign. Furthermore, it suggests that one should avoid making hasty decisions and act with caution before proceeding with the transfer. So, in regards to your question, this card indicates that one should be cautious before deciding and take the time to make the right assessments before proceeding with the move to a larger city.

In conclusion, the cards drawn suggest that there is a possibility that you may succeed in moving to a bigger city for professional reasons. However, it is important to be cautious and exercise prudence in taking such a step and to take the time to make sure it is the right choice to make. Therefore, the answer to your question would probably be "Yes", but I also recommend that you exercise caution before proceeding with the transfer.