It's possible to import a car to Dubai but complicated. You'd need to check on export procedures for the country where you're from first, then arrange shipping (probably several thousand dollars). The shipping company should be able to provide you with more specific details on export and import.
After importing to Dubai, you'd then have to register it with the traffic department. If your car is RHD, I think you have to convert it.
Also, if it's an old car, bear in mind the rules on ownership are changing in the UAE - if it's more than 10 years old, you cannot transfer ownership which means you can't really sell it, and it may mean you can't register an imported car.
Here's more about importing cars to Dubai.