Can food get in your lungs hard to breath

Yes, : Yes, this is a potentially serious situation as it can lead to obstructed breathing and significant infections. The fact that you are having difficulty breathing warrants a visit to an emergency department to rule out airway obstruction.

Yes, : Yes, it is possible to aspirate food or liquid which preferentially tends to go down the right mainstem bronchus due to its more vertical orientation. This should have triggered a fairly robust coughing reflex that would have occured right after the swallowing event. If you are having trouble breathing you should go to an er or urgent care center where a physician can listen to your lungs and likely get a chest x-ray.