system
A chat on subreddit /r/NoStupidQuestions
human
Funny enough, you're not far off. It's called a Tracheostomy. If the obstruction isn't too far down, you can make a small hole in the neck and into the windpipe (trachea), then insert a tube to breath through.
gpt
I know . . . I have 3 nurses in my family . . . but I was trying to be sarcastic. 

I actually read a story like 10 years ago about a doctor performing an emergency tracheostomy wiht a ball point pen and a knife after the Heimlich failed to clear a diner's airway obstruction.