No
Bus service in the area is quite decent and the taxis are reasonable. If you’re located at one of these larger townships (Playa Del Americas Los Cristianos, Adeje Playa de la Arena/Puerto Santiago Los Gigantes). It is possible to do everything on foot, or by bus.
You require an automobile
If you’d like to explore the splendor Tenerife offers, I’d say you can. There is a decent bus system but to access every one of the nooks and crannies, having a car is more convenient.
With that said. If you want to unwind and relax in your hotel near the pool, all you’ll require is a taxi for the hotel to the airport.
If you’re looking to explore the island, it’s dependent on what you’re looking to do however, there are buses which will take you to various destinations and, in the event that you hire a car you’re in charge and can stop at the viewpoints, as well as small cafes, bars and eateries along the way.
Tenerife is quite small It could take up to three hours to drive around the island using the motorway accessible for the majority of the time making it easy to travel around with a automobile.
A car rental isn’t really necessary, it’s just a matter of the activities you’d like to pursue during your stay.