Yes sometimes acid reflux disease can cause a person to wake up gasping for air and having trouble breathing.
The reason acid reflux causes some people to wake up gasping for air is due to the acid reflux causing a backflow of the stomachs acid into the esophagus which then moves far enough up into the persons throat or Larynx which causes you to lose your ability to breath properly.
Not only can acid reflux cause you to wake up gasping for air it can also cause coughing as well as choking in the middle of the night.