Are there any high-wing aircraft with a top or bottom mounted canard?
No one could deny that the Aviafiber CANARD 2 FL was a (very!) high-winged aircraft with a forward-mounted canard. The wing was mounted very high above the fuselage on long diagonal struts, while the canard was at the level of the fuselage. For photos, visit http://www.delta-club-82.com/bible/photo.php?id_aile=568&langue=en
There was also a motorised version of it.
See also the Gossamer Condor and Gossamer Albatross human-powered aircraft.
Perhaps some of these also qualify--
Duck hang glider
Gyrfalcon hang glider
Mk 2 Splitwing Circa hang glider
And this unknown hang glider
But the real "nuts-and-bolts" answer to your question is this-- considering aircraft with a conventional enclosed cockpit or "cabin"-- if the aircraft has a horizontal stabilizer in the rear and an engine in the front, then one of the logical places to put the wing, as far as the fore-and-aft trim and stability is concerned, is on top of the cockpit or cabin. (Putting the wing beneath the cockpit or cabin can also work out well.) Once you move the engine to the rear and get rid of the rear horizontal stabilizer and add a (lifting) canard, it tends to work out best to put the cockpit or cabin in front of the wing, as far as the fore-and-aft trim and stability is concerned. This tends to rule out the option of putting the wing on top of the cockpit or cabin. (Or perhaps it would be more accurate to note that this tends to allow the designer the option of putting the wing more or less on the same level as the cockpit or cabin, without having structural parts run through the cockpit or cabin space.) But as other answers have shown, there are exceptions to every rule or generalization--even in such a case, there are still ways to mount the wing above the level of the cockpit or cabin, so a few such designs do exist.