Yes, we can
In compiler point of view, overloaded methods are totally different methods. Because compiler identifies methods by their name and signature, you know overloaded methods must have different signatures.
Derived classes still can override the overloaded methods. Polymorphism can still happen. Compiler will not binding the method calls since it is overloaded, because it might be overridden now or in the future. It is compiler's responsibility to check the caller class has the method being called. It is the runtime's responsibility to call the right method along the hierarchy from bottom-up according to the real Object type identified.