Actually if i have understood correctly, Christ was a title he gained when he become enlighten in a very young age, So yes if a Christian become enlighten from his/her practice they will be called Christ just like in Buddhism, Buddha is not his name it is his title. Sakyamuni was his name or before enlightenment, his earth name was Siddharta Gautama.
So yes Jesus might have been his name and Christ is the tittle
Just like It says Joshua
means "Yah saves." Joshua = Yahshua = Yah + shuah. Yah is short for Yahweh, and shuah is from yeshuah which
means "to save, save alive, rescue." In other words, the more appropriate translation for
Jesus' name is "God rescues."