Is there a way to breed a hero dragon?

No there isn't, if you use the filter in the dragon book it will tell you which dragons are breedable.

@Nynaevelan where can I find this Dragon book and filter you speak up?

@Juan-Ruiz183 One the upper side of the game there is the number of dragons you have / and the max number we can get. Click at the right side of that numbers and the dragon book will show up. There click on source and then on the red and the green heart and all breedable dragons will show up.