Hi and welcome to the GERD forum.
It is possible for this to be the case, not being a medical professional I can tell u what I do know I have PND (post nasal drip) and when u have an excess like that and it drains into ur stomach it will cause an issue....irritate the stomach lining....with the condition like Vasomotor Rhinitis I am sure u will have similar issues to PND...regardless of what causes them....the outcome is the same.....
I am sure ur Dr offered something to help control the rhinitis...like an anti histamine,,...once that is under control ur GERD may just need meds short term...but do also follow a modified diet and lifestyle to help prevent it from flaring. See the Health Pages -
http://www.medhelp.org/health_pages/list?cid=236