Yes. In fact, someone already has. The last Confidential episode had River Song narrating her life story. This io.9 article summarizes the story, in case you can't find the episode.
For a short version, River Song's timeline goes like this:
- "A Good Man Goes to War" (baby)
- "The Impossible Astronaut"/"Day of the Moon" (little girl, regenerates into Mels)
- "Let's Kill Hitler" (Mels regenerates into River Song)
- "Closing Time" (enrols to study archeology)
- "The Impossible Astronaut"/"The Wedding of River Song" (astronaut)
- "A Good Man Goes to War" (adult)
- "The Impossible Astronaut"/"Day of the Moon" (adult)
- "The Pandorica Opens"/"The Big Bang"
- "The Time of Angels"/"Flesh and Stone"
- "The Husbands of River Song" (goes to the Singing Towers of Darillium & receives a sonic screwdriver)
- "Silence in the Library"/"Forest of the Dead" (dies)
Some fans argue about whether or not the narrative is 'canonical' (partly because it's apparently narrated by River after her death, partly because it was not produced as an official mini-episode), which is why people still argue about whether River Song is the third incarnation or not, etc.), but at least it represents Steven Moffat's idea of how the stories we've seen fit together, which is probably all you wanted to know.