Not sure about Django but on the Node.js side there are Express.js compatible libraries that let you write your app like you would Express but it's exposed via Lambda and API gateway. Good chance Python has something similar. Biggest difference is you're not dealing with HTTP (directly) but it can be abstracted to -- from a framework perspective -- act like HTTP.

Yes, but is the startup time of Django an issue? Besides that you'd have to return your data in the shape that the API gateway expects from lambdas.

Returning a 500 would look something like this:

    {
     "statusCode" : 500,
      "headers" : {
        "content-type": "text/plain; charset=utf-8"
     },
     "body" : "Some error fetching the content"
   }

Yes, it's possible to wrap any asgi app to run in a lambda. Check out Mangum https://github.com/jordaneremieff/mangum

Yes it absolutely is possible. I have been considering doing this in combination with PG Aurora v2

You can run any wsgi application in lambda with libraries like https://pypi.org/project/apig-wsgi/

Not Django, but AWS has a product focusing on this - Chalice https://github.com/aws/chalice

Pretty sure Zappa does this: https://github.com/zappa/Zappa