Can earthquakes with a magnitude between 3.0 and 6.0 produce high intensity levels?

3.0 typically is only felt by people who are resting or on the up stairs of buildings. 6.0 is more intense. I would say a 6.0 can produce high intensity levels. A 6.0 can damage buildings of good design and structure. Damagable in poorly built or badly designed structures. Some chimneys may be broken.