No, it’s not included in the published rates.
Some travel agencies can offer fly-and-cruise packages, but if you’re doing it on your own, you’ll have to book the flight separately.
If budget is an issue, try to search for a week that can give you lower rates for BOTH the cruise AND flights. I know it’s easier said than done, but it is possible. I am able to find some dates that do match, especially when airlines have seat sales.
Airfare is more erratic, so that’s what I usually check first. Don’t book flights yet, just scan. Then, when you find cheap flights to Singapore, search for an affordable cruise. When you find one that matches your flight dates, book the flight and the cruise immediately. Please mind your timings. Take note of the departure and arrival times before finalizing your flight reservation.
Try to be in Singapore at least a day before the start of sailing. We don’t recommend booking a flight on the same day of boarding because a delay on your flight can easily mess up your trip. The ship won’t wait for you.