Not specifically that one, no.
Most horses you'll see in Mexico/Central America/Caribbean are paso fino, a small, wiry thin breed that looks like it's perpetually underfed. They're energetic and amazingly durable so don't go getting all misty-eyed because they "don't feed their horses".
While paso fino are energetic, most trail horses are going to be very bored with their jobs and often have no desire to do any more than they absolutely have to do. Their job is to walk for so far in this direction, turn around, walk back, and get fed. They're not always in a hurry. Depending on your riding skills, you may get a horse that has a second job as a speed bump.
The commercials you see of the lady riding bareback through surf and crashing waves is a commercial. "Professional rider on a closed course" as it were. They won't let you do that. You'll be able to ride on the beach, and they'll pick a spot where the waves come rippling in 3 inches high and tell you that if you want to take your horse into the water here, you can do it. No stable is going to risk having you panic in medium waves and be unable to control their animal. Their horse could get injured and you could get slightly killed.