The jQuery page you link to has several examples of using an Ajax request as the source: click "Remote datasource" on the right-hand side and then "view source" at the bottom to see the code. It looks like all you need to do is add a source
element to your autocomplete
function, whose value is the URL that returns your data.
As well as that, though, you'll need to be sure that the data is in the right format: that means serializing it to JSON:
return HttpResponse(json.dumps(suggestions))