Let's start by analyzing the first card: King of Swords reversed. This card indicates a hostile attitude and a refusal to accept a promotion at work. The reversed King of Swords also represents a strong lack of self-confidence, as if there is not enough self-confidence to consider career advancement. Furthermore, he may suggest that the subject does not feel confident enough in their skills or level of knowledge - something that could prevent them from accepting an offer.
Let's move on to the second card - Nine of Swords inside out. This card represents negative feelings about promotion at work, such as fear, uncertainty and worry. The reversed Nine of Swords can also indicate a sense of lack of control over the situation, as if you don't quite know what decision to make and how to proceed. This can lead to a refusal of promotion at work.
In conclusion, the reversed King of Swords and reversed Nine of Swords cards show that the chances of a promotion at work are slim. The tarot suggests that the subject does not feel prepared or confident enough in their skills to accept an offer and also suggests that there is uncertainty about how to proceed. So, the answer to the question is No, the chances of a job promotion are limited.