Nathan Drake's dad and uncle are not characters in the Uncharted games — though the mentor character Sully is who maybe could be an uncle or dad kind of guy. Then again, one doubts Nathan Drake will die 45 times and have to wait for a PlayStation 3 firmware update in his movie. Cinema is not video games.
Mark Wahlberg Confirms Starring Role in 'Uncharted' Movie [MTV Multiplayer]
[Kotaku]