No !! You can not breathe while you swallow. Your throat has a windpipe and a food pipe, so to make it simpler let us just imagine 2 tubes as our throat. One of these carries your food to your stomach, and the other carries wind. So after you swallow food, it gets confused on which pipe to enter. So the windpipe is then covered with a cap is called epiglottis. The epiglottis doesn't let anything go to the windpipe. That is the reason why you cannot breathe while you swallow.
When this happens we usually do not even know it's happening, because epiglottis covers and uncovers the windpipe in a fraction of seconds. But sometimes the muscles that control the movement of the epiglottis get a week and we might have difficulty swallowing. This condition is medically called Dysphagia. The people suffering from this require a lot more effort to swallow what they eat and drink. This condition may arise when you are eating too fast or are not chewing food properly.
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