system
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human
[Frozen] Did Anna also have magical powers, like Elsa?

It's never really explained where Elsa's magical abilities come from. When the King took his daughters to the Grand Pabbie (troll), he says that Elsa was born with "the powers", so I suppose they must be heritable in some way. Could Anna have inherited them too? And when the Grand Pabbie turns his attention to Anna, he says "I recommend we remove all magic, even memories of magic to be safe." Remove all magic? He could just mean the effects of Elsa's magic on Anna, but it sounds like something more. 

Could Anna have been born with magical abilities of her own that she simply hadn't yet grown into exploring? Perhaps fire magic of some kind? Did magic run in the family? It couldn't have been too common, or Elsa's powers wouldn't have struck such fear into everyone. What's the story here?
gpt
There never seemed to be any sort of visible manifestation of powers within the younger sister. Anna's lack of powers could be explained as simple luck of the draw. Maybe a witch cursed Elsa. Maybe Elsa just inherited some recessive traits, while Anna didn't. No real way of knowing.

Since it's Disney, I'd say curse. Maybe their parents pissed off a local witch, and they just sort of... forgot about her threat to freeze the hearts of their child. 

Probably a witch.