What are the possible negative impact of change of barometric pressure on some people, ?

Many: The are variable from ear ache. Allergy symptoms, headache, confusion, shortness of breath...Most are not serious like maybe a change in travel plans..

Minor alterations: And changes in ambient barometric pressure can cause sinus pressure, "popping" and muffling of hearing. Major decreases or increases are responsible for ruptured ear drums, brain swelling, and pulmonary edema, for atmospheric change in pressure. The pressures encountered when diving are basically the same with the addition of nitrogen narcosis, and the "bends" to name a few.