There is no such API in the component.
The ZipWriter takes a Stream object created by you as its output store. As such, ZipWriter has no way of knowing what the Stream's true physical entity is. Since you create the Stream object prior to giving it to ZipWriter, refer to the documentation of the framework or library that you're using to see if there's a way to delete the data.
If you're using a Stream created by Silverlight's FileInfo class, usually through a OpenFileDialog, you can delete it with FileInfo.Delete() method.
Documentation:
FileInfo.Delete
OpenFileDialog.File