The closest thing would be the level maps on http://www.dkc-atlas.com/maps/ that show the level layouts with bananas.
There's no feasible way to track if you've collected every banana though and would be a nightmare to moderate so it'd never be a speedrun category.
Want to chime in to say that there is a simple way to increase the Banana counter to go up to 999 (resetting to 0 at 1000 bananas). So a 999 banana count run could work. I haven't looked much further into it, but perhaps it also might be possible to make banana bunches count as 1 banana instead of 10, which allows for "more" bananas to be collected within a run. If there is any interest I could post a dkc-1.0 version with the simple 999 banana counter to [dkcspeedruns.com]. Credit goes to (I believe) Mattrizzle on [dkc-atlas.com].
EDIT: I only now realize that, even as a meme category, it would be restricted to emulator or flash carts if used in the way I described, so probably not feasible since some people might only have hardware.