Is it okay to have reduplicated names or same first name and last name? for example Daniel Danielson.
I see now that you are asking about the secular family name. Since this is not really the name of the person, it would not matter. One should not give the child the same name as his father (such as Reuven ben Reuven) unless the father has died before the child's bris milah. Ashkenaz custom has extended this to not name a child after any living relative.
For example Abraham Abraham was the son of Judah Abraham. Thus his real (Jewish) name was Avraham ben Yehudah.