Can you be both a Jr and III?

Yes, it is possible for someone to be both a Junior (Jr.) and a III (the third) in a naming convention. Typically, "Jr." designates the first generation of a name, while "III" indicates that a person is the third individual in a line to have that name, often including the original bearer and the subsequent Jr. Therefore, if a person is named after their father (the Jr.) and their grandfather (the III), they can hold both titles. However, this situation is quite rare and may lead to confusion.