It is possible for roseola to cause diarrhea in a 1-year-old child. Some of the symptoms, such as discomfort, fever, and teething, can contribute to diarrhea. It is important to monitor the child's condition closely and ensure they are eating and drinking properly. Most symptoms typically go away on their own, but it is recommended to seek medical advice if the fever persists for more than 72 hours, if vomiting occurs, or if the child refuses to drink fluids.