Yes, curt is a Scrabble word!
...and is worth 6 points in Scrabble, and 8 points in Words with Friends
curt
Adjective
1. Marked by rude or peremptory shortness
2. Brief and to the point; effectively cut short; `yes'"
What Scrabble words can I make with the letters in curt?
3 Letter Words
2 Letter Words