An elf fighter could. It's just an elf wizard where the choice would be redundant
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So an Elf Warrior (or Thief, or Cleric, or Pathfinder) could choose to be able to cast Magic Detection once per day, or a Gnome Warrior (or Thief, or Cleric, or Pathfinder) could choose to be able to cast Illusion once per day, but an Elf Wizard or Gnome Wizard would gain nothing from choosing the bloodline spells and should always choose the +1 to Aur instead. That makes sense. Thank you again for the helpful replies! Now I can have my players roll up some characters.