Short answer: not in the way you wish I suppose.
Long answer: you can do some things manually and some things with queries.
Query results can not be sorted manually. Linked references is the same.
However there is a priority tag [#A] (via / command A). If you don’t mind some extra pages you can use all letters of the alphabet through a manual write up. Sorting a query by priority will then give you a way of sorting manually. Same if sorting on content and using specific pre-fixes. So not quite intuitive, but possible.
As for sections those would need to be separate queries I think. Queries do not support any grouping behavior.
Another option is block references or block embeds. But that’s a whole lot of manual labor.
Personally I do have a task overview page.
As you can see I use a prefix in the query I have open. All those bullets are different queries.
For more info on specific query for task management I’ll redirect you to this thread: