The Emperor tarot reversed indicates that there may be a lack of authority from your household. It could be a stalemate where decisions cannot be made easily. The fact that it is upside down means that it will not be easy to reach a consensus in family matters. Also, the Ace of Cups suggests that there will be some major changes, which could be good for your family situation. They could be changes that will bring new energy and vitality to your family dynamic.
However, The Emperor reversed can also indicate that people around you are resisting the changes, which may slow down the process. Lack of authority could cause tension and uncertainty in your family situation. Also, the Ace of Cups in reverse can suggest that the problems currently present cannot be easily fixed. There may be a lack of trust between the people involved, and therefore there may be difficulties in reaching an agreement or having mutual understanding.
In conclusion, the papers show that there are likely to be some changes in the family dynamic in the short term, but these may be slowed down by resistance from those involved and difficulties in agreeing. Therefore, the answer to the question is: Yes, with some potential for slowdown.