Depends solidly on the reasons for them hunting you. Is it a believable reason? Then yes, an occasional attack by, say, Dragon Worshippers or somesuch would be okay.
If it's just that "hey, we heard you're Dragonborn, and that you're the only way we're going to be able to survive. So we decided to kill you for the glory."
PC: "But if you kill me, you'll die when Alduin eats the world."
"But... the GLORY of the KILL."
PC: "So you want to die?"
"Of course not, but I want the GLORY!"