Can i have acid reflux disease even without suffering from absolutely no heartburn?

Yes: So called "silent heartburn" is very common. Its manifestations may be chronic, otherwise unexplained, cough, voice chances, recurrent sinus infections, esophagitis (inflammation of esophagus visible on upper endoscopy), dental problems (caries), chronic excessive throat phlegm production, regurgitations etc.

Yes: There are so-called atypical and extra intestinal manifestations of gerd such as chronic cough, globus or foreign body sensation in the throat, worsening of asthma, chest pains, etc.