Yes, you can trap air in a bottle.
As to your second question. I'm unsure if you are being serious or joking. This first part of your question implies that there are multiple donuts, but in the second you only eat one donut. So would that mean that the holes are still there for the other donuts? If you meant "after you eat the donuts" then the holes don't exist the moment you take a bite out of a donut. Honestly, I don't know if you placed a lot of thought into writing this questions, or if was just a joke.