Can Derived Class Contain Vector of pointers to the parent class?

Lets say I have a parent class called:

class Car
{
.....
};

Then there is a derived class called Toyota, which has a method returning a pointer to the parent class and a vector of pointers of the parent class.

class Toyota : class Car
{
public:

*Car GetCar(char* model);

private:
std::vector<Car*> cars;
};

Is this allowed?

I came across this programming question which requests for a class and a derived class where the derived class has a container of pointers to the parent class and individual elements of the container has to be accessed quickly.
(This question is neither a school assignment nor a test)

:s11: