You could damage the most expensive parts of the copier - the drum or fuser rolls. If you have a paper jam, make sure you clear the jammed paper properly. If not done properly, you set your machine up to continuously jam. Rewrap any partially used packages of paper. Even when stored in an air-conditioned environment, paper can still collect moisture.
Humidity is the next most common cause of paper jams.
If the paper in the cassette is uneven and bumpy-looking, humidity is the reason. Load only enough paper in the cassette for one day. Before you put paper in the cassette, fan the stack on both ends. Do not use recycled paper. Many recycled papers have a high dust content that can be especially troublesome when combined with high humidity.