creating non-reloading dynamic webapps using Django
Maybe a few iFrames and some Comet/long-polling? Have the comment submission in an iFrame (so the whole page doesn't reload), and then show the result in the long-polled iFrame...
Having said that, it's a pretty bad design idea, and you probably don't want to be doing this. AJAX/JavaScript is pretty much the way to go for things like this.

I have heard it's possible with AJAX...but I was
  wondering if it was possible to do
  with Django.

There's no reason you can't use both - specifically, AJAX within a Django web application. Django provides your organization and framework needs (and a page that will respond to AJAX requests) and then use some JavaScript on the client side to make AJAX calls to your Django-backed page that will respond correctly.
I suggest you go find a basic jQuery tutorial which should explain enough basic JavaScript to get this working.
As far as I know, for a new request coming from a webapp, you need to reload the page to process and respond to that request.  
For example, if you want to show a comment on a post, you need to reload the page, process the comment, and then show it.  What I want, however, is I want to be able to add comments (something like facebook, where the comment gets added and shown without having to reload the whole page, for example) without having to reload the web-page.  Is it possible to do with only Django and Python with no Javascript/AJAX knowledge?
I have heard it's possible with AJAX (I don't know how), but I was wondering if it was possible to do with Django.
Thanks,