Yes, HAVING 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