Can a player with no trauma tokens change their Crossroads choice when they later draw tokens?

Question

Accepted Answer

No. Tokens are placed next to the Crossroads card before any card is revealed, and that placement is final. A player who had none to place still picks either result when his card is revealed, and tokens drawn afterwards cannot be added.

Battlestar Galactica: The Board Game

Can a player with no trauma tokens change their Crossroads choice when they later draw tokens?