Going on a Vacation After Peeling from Chemical Peel?

No, this is not a good idea as the sun can affect healing with darkening and hyperpigmentation. Protect your face as much as possible from the sun and use a fading cream while healing.

Sun exposure, with or without a chemical peel, especially in humid tropical climates can exacerbate hyperpigmentation.  I would recommend a daily maintenance with Melarase AM cream.

With all peels, skin can become sun sensitive afterward, why we always recommend that patients, after having a peel, avoid the sun and wear daily broad-spectrum sun protection. For lighter peels, an over-the-counter topical broad-spectrum sunscreen works best. For deeper, more intense peels, we recommend that patients avoid direct sun exposure for several days to two weeks.

Even if your skin appears to have returned to normal, you must protect your skin from the sun, especially between the hours of 10 am and 4 pm.  You will develop brown pigmentation after sun exposure on fresh skin, so be very careful.  If you do develop brown spots, visit your dermatologist who can recommend a fading cream.

If your skin has fully healed from the peel, you are less prone to sun-related post-peeling problems. I would still advise you to bring plenty of sun block with you for sun protection. If you are going to be in the water, re-apply the sunscreen/block every 90 minutes. Neutrogena incidentally recently came out with a "Sport" sunscreen that is touted to stay on longer with sweating and exposure to water. A wide-brimmed hat would also be helpful.
Have a wonderful trip.