Is 9 days enough to reach and enjoy Abacos..then get back?
No way. It is not even close to enough time.
Even if you completely leave out the "enjoy" part, I am not sure it is enough time even to find a weather window, get there, find a weather window and return. That is particularly true if, by Abacos, you mean the Hub of Abaco (Guana, Marsh Harbor, Hopetown, Man-O-War, etc).
It is a long overnight run to Great Sale from Ft Worth. It is another long run to Green Turtle from Great Sale (not even sure if that is doable in a day -- or why you'd want to skip all the possible stops in between). Add a full day to check in -- the Bahamians are not on NYC schedules. So, there and back to Green Turtle (not including finding weather windows in either direction) is 5 days. You still haven't had a drink and you still have to find decent seas to get around the Whale Passage and into the Sea of Abaco where you will find another long day to get to the Hub of Abaco.
Realistically, 9 days *might* be enough to plan to get the boat to the Sea of Abaco, find a spot to leave it and fly home (with a bad stretch of wx or some other probs -- it also might not). I know that is not ideal with storm season, but it is much more realistic. Even then, I think you'll find that you are not going to have enough time to downshift to "island speed" on the first part of the trip.