Tesla Motors is famous for their usage of electric motors. Electric Motors don't require lubrication from conventional oil. However, they do require a minimal amount of grease for the bearings inside the motor. So technically yes they do need oil for lubrication but probably not the type of oil you are thinking off.
Also asked, do electric cars last longer?
Since electric motors don't have many of the complex moving parts found in a gasoline engine, EVs won't develop the same problems. And while electric vehicles may eventually require battery replacement (see below), the motor itself is likely to last longer than a standard gasoline engine.
Do electric cars need transmission fluid?
Brake fluid should be checked and replaced per your owner's manual. However, if you own the Tesla Model S, there's a differential gear box containing transmission fluid requiring replacement as scheduled. Furthermore, all electric cars come with air conditioning, and that system must be recharged on occasion.
Is it cheaper to drive an electric car?
The average cost of electricity in the U.S. is about 12 cents per kilowatt hour. According to the Department of Energy, charging an electric car costs about half as much as fueling a gasoline-powered car. An average person would spend about $540 driving an electric vehicle for the typical 15,000 miles per year.