Yes, it’s fine to reheat chicken wings the next day. However, it’s crucial that you reheat them all the way through to prevent food poisoning.
It’s important to know that bacteria grows on any food left at room temperature. When you leave it out too long or when you store it for a long time, there is a risk that the bacteria in the food has accumulated to unsafe levels. Reheating leftover chicken wings the next day will be fine, as you will kill any food borne bacteria and viruses when you heat it properly.
A good practice to get into the habit of is to only reheat the amount of chicken wings that you need. You will also need to bear in mind that the quality of the chicken wings will decline every time it is reheated. This simply comes down to the fact that the meat of the chicken wing dries out the more that heat is applied to it and the texture will also deteriorate in quality.