Yes, sat is a Scrabble word!

Verb

1. Be seated

2. Be around, often idly or without specific purpose

3. Take a seat

4. Be in session

5. Assume a posture as for artistic purposes

6. Sit and travel on the back of animal, usually while controlling its motions

7. Be located or situated somewhere

8. Work or act as a baby-sitter; I have too much homework to do"

9. Show to a seat; assign a seat for

10. Serve in a specific professional capacity

Noun

1. The seventh and last day of the week; observed as the Sabbath by Jews and some Christians