"추억" 쓸때는 대강 "of" 이나 "about" 과 쓴다. Also, plural "memories" is probably more common.
She has good memories about her childhood.
She has good memories about her trip to Korea.
She has good memories of her time with him.
The example sentence is correct, but it is more common to insert "a" even when the meaning is 기역력. She has a good memory. She never forgets anything.
She has a good memory for names and faces.
She has a good memory. She knows the lyrics to hundreds of songs.