oh yes they can.
I have a blue oegb that ate to fast and could not breath, i had act fast, but water to moisten the food in his throat and message it to go down, then the next day he did it again this time i had too get food out of his throat, had to push up and pull out what i could then make him swallow.
Then 2 days later his girlfriend did it, but when i noticed it she was on the floor, i went crazy doing what i could but as soon as i got most food out she was already gone.
What happened was i was putting there food in a bowl and was getting stuck because they were taking too much at once, acting like they have not eaton. so i had stop the bowl and just put there food on a plate, that way they could not pick up so much at once.
It really sounds like the same thing was happing to yours today.