Yes, when you go to a person's profile, you will see the person's events but only under certain circumstances. 

1. The event must be public. You will not be able to view someone's private events.

2. The person must be an attendee of the event. You will not see events that people are organizing.

3. You must be in the same organization that is hosting the event. If the person is attending a public event hosted by a different organization, you will not see the event.