Hi,
How are you? Are there other symptoms present? Yes, the coughing could be part of allergic rhinitis. It could also be due to post nasal drip, possible GERD, infection, medication side effect and even from environmental irritants such as air pollutants. If it persists, have this checked by your doctor for proper evaluation. Antihistamine, decongestants and prescription medications may help provide relief. Take care and do keep us posted.
It probably is. I get something like that, too. I sometimes have so much drainage that I have to take oral antihistamine, too. I hate it, because the oral antihistamine is so sedating.