Alzheimer's Disease

In this article scientists say that people can have the Alzheimer's disease without having any symptoms. 

Scientists conducted a study in which they did a brain autopsy of healthy people who passed away. They found that about 20-25 percent of them had the accumulation of a certain brain chemical that indicates that they have Alzheimer's disease. But none of these people had any symptoms of Alzheimer's.

Is it possible to have Alzheimer's disease or any other types of disease without showing any symptoms?