Nah she doesnt. Edward described it several times, her power [which is nothing supernatural] is her love for the family. Plus if آپ check the vampire index on the back of Breaking Dawn, آپ will see she is not marked
posted پہلے زیادہ سے سال ایک
I don't think it's solely reserved for her family though. I think it's just her ability to love anyone passionately like Edward says on Twilight page 307.