I ask because up until a week ago, I was fine, had good restriction but could eat food and keep it down. I got sick (cold) and have been coughing a lot. I noticed that when the hard coughing started, I started having trouble keeping down a lot of foods. I can still keep down some foods (mushies, some softer foods), but others I take two bites and it feels like they're stuck. Could it be I'm just swollen from all the coughing?

Yes, also excess mucus that is generated with a cold can have an effect. You will likely be able to eat less when you have a cold.