Yes . You can die from any infection if you don't get treated or you have certain serious medical conditions.
Possibly... Acute bronchitis is an infection of the airways usually caused by a bacterial or viral infection. This is typically not life-threatening but can be in patients with pre-existing lung disease like asthma, cystic fibrosis, etc. Chronic bronchitis is a form of chronic obstructive pulmonary disease which is a slowly progressive disorder that can be life-threatening. Patients do die of copd.