Answer
Yes, during the season, you can rent a yacht in Punta del Este for a private outing. Yachting is one of the notable activities for locals and seasonal tourists, so port life is part of the resort’s character.
It is also possible to see fur seals, but it is important to remember that they are not a decorative part of the outing but wildlife. When yachting, you have to share the waters with marine animals, and their presence depends on the location, time, season, and water conditions.
Such a trip is better viewed as a boating excursion, not merely an attractive service. Weather, route, safety, number of passengers, and behaviour around animals are more important than the mere idea of renting a yacht or taking a photograph from the deck, especially if children are on the trip.