Yes. Beach or park chairs, towels, sunscreen, Kleenex, wipes, changes of clothes for everyone, cases of water bottles, puke cups/ bags (very important if you have kids who sometimes puke in cars). Triple A card.
The revised list of emergency items in the car for small tropical islands:
Hat(s)
Sunscreen
Sunglasses
Insect repellent
2 liters water
Bottle opener
Fishing net
Charcoal
Matches
Knife/scalier
One of those sandwich racks for cooking fish
Roll of 20 gallon garbage bags
Flashlight
Beach Towel
Snorkeling Equipment
Surf Shoes
2 X old T-Shirt
$20.00 Cash for snacks
If you are out late at night maybe a pistol to shoot feral pigs.
If you have a large vehicle then
2 X collapsible canvas chairs
Hammock
Ice Chest
10 X 10 Easy-up canopy
Optional
Bottle of BBQ Sauce
Can of Pringels