Yes, nims is a Scrabble word!
...and is worth 6 points in Scrabble, and 8 points in Words with Friends
nims
Noun
1. Game in which matchsticks are arranged in rows and players alternately remove one or more of them; in some versions the object is to take the last remaining matchstick on the table and in other versions the object is to avoid taking the last remaining matchstick on the table
What Scrabble words can I make with the letters in nims?
3 Letter Words
2 Letter Words