Yes, own is a Scrabble word!
...and is worth 6 points in Scrabble, and 7 points in Words with Friends
own
Adjective
1. Belonging to or on behalf of a specified person (especially yourself); preceded by a possessive
Verb
1. Have ownership or possession of
What Scrabble words can I make with the letters in own?
3 Letter Words
2 Letter Words