Absolutely, and I may look over it to clarify the rulings.
Let's say we have four people at the table: Alice, Bob, Charlie and Dana.
Alice decides that she is Known For Swords and Terrible At Barter
Bob decides that he is Known For Music and Terrible At Dark Magic
Charlie decides that they are Known For Light Magic and Terrible At Fishing
Finally, Dana decides that she is Known For Acrobatics and Terrible At Flirting.
Now, back around to Alice! She currently has Swords d12 and Barter d4. She looks over the other options, and decides to take Fishing d10. To balance it out, she takes Dark Magic d6.
Alice's Talents are now:
Swords d12, Fishing d10, Music d8, Light Magic d8, Acrobatics d8, Flirting d8, Dark Magic d6, Barter d6
If Alice decides later that she wants to do some bureaucracy, well, the gods haven't implemented bureaucracy so it falls under non-existent things.