I'm assuming by "handicapped" you mean in a wheelchair??
You might want to check first with DCL before booking excursions. We had a young lady at our table in a wheelchair that couldn't get off the boat in Grand Cayman and Cozumel because of the tendering. Cozumel is not tendered anymore so that shouldn't be a problem.
GET UP TO A $1000 SHIPBOARD CREDIT AND AN EXCLUSIVE GIFT!
If you make your Disney Cruise Line reservation with Dreams Unlimited Travel you’ll receive these incredible shipboard credits to spend on your cruise!