Yes, it is possible to lock it. The procedure is quite simple. Run the lock cable through the front wheel spokes. Secure it to a stationary item that will keep its place.
Most of the scooters do not come with locks, and hence you will purchase them separately. However, some kick scooters come with holes on the frame. These holes are for use in securing the lock to the bike. They also do not come with locks. For getting more scooter ideas, You may check out the BestScooterBuy.Com.