In the comics, Hercules doesn't kill Thor. Their encounters are often part of complex storylines with various twists and turns, but not resulting in such a fatal outcome.
Sure. Thor and Hercules have clashed multiple times in different comic series. Their fights often stem from differences in power, ideology, or the circumstances of the story.
The Legend of Hercules is about a demigod. Hercules was the son of Zeus and a mortal woman. He was born with extraordinary strength. His stepmother Hera hated him and made his life full of trials. He had to perform twelve labors, like slaying the Nemean Lion and capturing the Erymanthian Boar. These tasks made him a great hero in Greek mythology.