Yes, have is a Scrabble word!

Verb

1. Have or possess, either in a concrete or an abstract sense

2. Have as a feature

3. Go through (mental or physical states or experiences)

4. Have ownership or possession of

5. Cause to move; cause to be in a certain position or condition

6. Serve oneself to, or consume regularly

7. Have a personal or business relationship with someone

8. Organize or be responsible for

9. Have left

10. Be confronted with

11. Undergo

12. Suffer from; be ill with

13. Cause to do; cause to act in a specified manner

14. Receive willingly something given or offered

15. Get something; come into possession of

16. Undergo (as of injuries and illnesses)

17. Achieve a point or goal

18. Cause to be born

19. Have sex with; archaic use

Noun

1. A person who possesses great material wealth