This is of course somewhat of a subjective question, but in general most would agree that yes, there are absolute standards for truth and justice, since we as humans have developed ways of understanding right and wrong.
Explanation:
Socrates believed that real achievement extended only with the Gods and that the best we can do is support their example as best as likely within our human deprivation. The absolute standards to which you apply would, accordingly, be known only to them and would not be available by us, which was what made the regular examination of one's life and actions for potential error crucial. To believe that humans could be as accurate as gods by the effort of will would have been deemed the final hubris. So yes, I accept such measures exist, but I also believe that they are behind our knowledge to succeed.
This is of course somewhat of a subjective question, but in general most would agree that yes, there are absolute standards for truth and justice, since we as humans have developed ways of understanding right and wrong.