If you've not handed them in, you'll get a list of what you discovered first when you do, and you can try writing them down then. But otherwise not yet, which is a spectacularly huge missing feature which wouldn't require much coding at all to implement. After all, the data is already in the database somewhere so other players can see your name when you enter the system, so it just needs to be called for the player too.
As well as number of planet types found, number of star types... there's a huge amount of personal depth and pride just waiting to be unveiled, but at present all we can do is honk, run and hope we wrote them down correctly. Bah!
