I think so.
They're both supernatural creatures that take the shape of a human.
They both have special, inhuman abilities and use these powers for good, rather than evil.
They both have normal human characteristics.

Harry is not a creature, he's a human being. Wizards are no creatures. They're people who can do magic.

They are beings, not human.

^ He's still a human. Witches and Wizards (in the Harry Potter series anyway, I can't speak for all) are human beings. Vampires are creatures.

Vampires used to be humans...

you could compare their personalities
but you can't compare them physically

Maybe he is human, but if you define human as a homo sapien, then Edward is human as well.

I think they're both completely different people, but since they're both popular characters their bound to be compared
But I have to admit you can compare personalities...but as for anything else, no you shouldn't

anything can be compared. You can find similarities between a beef burrito and a mechanical pencil if you want.

They actually do have similarities, as I saidlink

Technically, Edward isn't a human (or homo sapien). In Breaking Dawn Carlisle told Bella that vampires and were-wolves/shifters have a different number of chromosomes than humans.

Harry is a wizard. Edward is a vampire. Harry is a growing boy experiencing everything for the first time. Edward is living through everything again and cannot grow older any more. Harry has the task of saving the world on his shoulders. Edward has the task of saving Bella but it was his own choice,

So no, i don't think you can compare them because they are two completely different people, and are in completely different situations (Harry Main character and the story is from his point of view, Edward is not the Main character and the story is from Bella's point of view)