I Was Eating A Grape And Started To Cough. I

I was eating a grape and started to cough. I think a piece of the grape or grape skin was inhaled. I have been coughing and still feel like I have to cough, but I'm breathing fine and can drink water. My throat feels a little scratchy, probably from coughing. If I inhaled a small piece of grape, could this become a more serious problem?