Human-powered lawnmower with horizontal blade?
Driven by wheels - No. People powered horizontal blade for taller plants, Yes indeed.

Ignoring the request for wheels, what you want is a scythe. 



Having used both, I'm fond of the "European" pattern (nearly straight-snath) type rather than the heavy, very curvy "American" pattern

Owning both, I find my scythe a heck of a lot nicer to use than my big gas string trimmer. I can cut at a similar rate of speed, in quiet, and not end up covered in green goo from head to toe. It's rather like a relaxing martial art or dance.

You will need more than just a scythe, to use a scythe effectively you also need a kit to peen (hammer-shape) the blade and a stone to sharpen it - a scythe does not work well at all when dull, but it's no more hassle really than keeping string trimmer string loaded and feeding correctly.