No, in humans (and animals, I think) the diaphragm is located just below the lungs.
diaphragm
it is called the diaphram.
The heart is located above the diaphragm and slightly left of the center of the chest, between the lungs.
At the bottom of the lungs
The lungs are located above the diaphragm, which is a dome-shaped muscle located at the bottom of the chest cavity. The diaphragm separates the chest cavity (where the lungs are located) from the abdominal cavity (where organs like the liver and stomach are situated). When the diaphragm contracts and moves downward, it creates more space for the lungs to expand during inhalation.
the diaphragm is the muscle separating the chest and the abdomen
The diaphragm is located underneath the ribcage and separates the chest cavity from the abdominal cavity. It contracts and relaxes to help regulate breathing by controlling the volume of the chest cavity.
The diaphragm is the muscle separating the abdomen from the chest
The diaphragm (a sheet of muscle underneath the ribcage) and intercostal muscles (located between your ribs).
diaphragm
Your lungs are in the thoracic cavity, which includes the chest down to the diaphragm. The lungs are located on both sides of the heart in pleural cavities.Source:http://www.dummies.com/how-to/content/what-is-in-the-thoracic-cavities.html
Hernia, hiatus: Protrusion of the stomach up into the opening normally occupied by the esophagus in the diaphragm, the great dome of muscle that separates the thoracic (chest) cavity from the abdomen.