At the end of Harry Potter and the Goblet of FireHermione gives Harry a quick kiss on the cheek. Other than that, they've never kissed.
The only other occasion is when Riddle-Harry and Riddle-Hermione attempt to torture Ron so he won't destroy the Horcrux. However, these were just projections of Ron's fears. The real Harry was watching this scene as it took place.
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Ron Told Hermione that she was "Fraternizing with the enemy".
Viktor Krum was a student at Durmstrang.
Viktor eventually found love with a woman from his native Bulgaria.
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In the books it does not say who Viktor wanted to marry but J.K Rowling has said that when Krum returns to Bulgaria he finds a Bulgarian girl and marries her.