DAE vomit when they cough too hard?

I don’t think this is normal, because I normally hear people cough pretty deeply sometimes, like long, drawn out coughs that are really hard, and they don’t throw up. Maybe they even gag a little, but still don’t throw up. I do have quite a sensitive gag reflex, and I’m pretty sure this is the culprit. When I gag, I throw up for sure, even if it’s a little delayed after the initial gag. I have heard people gag before and not throw up afterwards. I mainly have experience with gagging from brushing my teeth and sticking my toothbrush too far in my mouth and things like that. My main issue with this vomiting from coughing is that I can’t smoke or vape, because of the coughing that it causes, which sucks because I would like to smoke marijuana. The reason why I know this is because I have experienced it from attempting to smoke cannabis. Does anyone else experience this issue?