Can acid reflux cause a chest tightness (not the burning) that mimics heart attack?

Yes: Acid reflux can cause a number of chest symptoms. Tightness, burning cough etc. Ischemic heart disease can also cause a range of symptoms not necessarily the ones you might expect to be associated with a "heart attack." Seek evaluation by a health care professional who will be able to differentiate these for you.

Cardiac reflux: yes sometimes it can mimic heart attack, vice versa is also true, heart attack can mimic stomach problems...