Question

Is it possible or makes sense to have static dynamic variables on a class, initialized with new operator?

Answer 1

Do you mean the following? Yes, it’s allowed.

class Class {
  static Base *b;
};

Base *Class::b = new Derived();

Use smart pointers if you need it to be destroyed when the program exits

class Class {
  static boost::scoped_ptr<Base> b;
};

boost::scoped_ptr<Base> Class::b(new Derived());