If you're looking for a file or document that will tell you "Half-elf, Female, Face 3, Hair 8, Skin Tone 7, Hair Colour 13, Eye Colour 6, Tattoo 4" (And let's be frank here; aside from makeup intensity that is more or less the entirety of making your character 'unique'. I'm personally NOT impressed with the character creator, at all.), no, unfortunately there's nothing that records that directly.
Your best bet would be to look closely at your character in game and take a screenshot, then go into the character creator, recreate it using the reference - it will not be hard to do as your actual choices are so limited - and note down separately the variables you used.