Yes. Chronic and untreated acid reflux could lead to acid reflux breathing problems. Uncontrolled acid reflux could lead to acid seeping into the lungs when asleep, with the lung tissues getting vulnerable and damaged permanently. The new lung tissue is not as efficient as the original lung tissue and is unable to breathe in oxygen and filter impurities and toxins.
An added complication is the development or worsening of existing asthma symptoms that are irreversible and affect quality life of the person. This could cause breathing problems for a lifetime.
However breathing problems with acid reflux symptoms need not always be the best guide, for your breathing difficulties could be due to other causes and prompt professional treatment is best sought.