Yes; it does.
To say ANYthing else would be to claim that JOSEPH was 'celibate'; too.
That is what the tradition says. To assert that Joseph went on to have a mess of kids after Jesus, is to assert that Joseph took the events described in Matthew and Luke rather lightly.,hat he accepted that the child was of mysterious origins, but not that Jesus was the Son of God in the same sense that the evangelists did.