Yes. Physical as well as mental characteristics could be carried over in some cases. A common occurrence is when a person dies due to getting shot, the bullet wound piercing on the skin is visible when one is reborn human just after that (within the same bhava); sometimes even birthmarks and facial features are carried over.
I think there are some accounts here: “Evidence for Rebirth“.
Also, see: “Abnormal Births Due to Gandhabba Transformations“.