.net - If An Interface Defines A ReadOnly Property, How Can An Implementer Provide The Setter To This Property

Is there a way for implementers of an interface where a ReadOnly property is defined to make it a complete Read/Write Property ?

Imagine I define an interface to provide a ReadOnly Property (i.e., just a getter for a given value) :

Interface SomeInterface
'the interface only say that implementers must provide a value for reading
ReadOnly Property PublicProperty As String
End Interface

This means implementers must commit to providing a value. But I would like a given implementer to also allow setting that value. In my head, this would mean providing the Property's setter as part of the implementation, doing something like this :

Public Property PublicProperty As String Implements SomeInterface.PublicProperty
Get
Return _myProperty

[code]....