As Graham states "page" in Word is a vague concept.  See:
http://daiya.mvps.org/wordpages.htm

That said, and using Word2003 or later, there are some things that you can
use in addition to the builtin bookmark "\page" that might suit your need.
They are the Panes, Pages, and Rectangle collections primarily used for
defining page setup.

The following example code was tested on a very simple four page document
with text, headers, footers, and a few shapes.  It worked, but as you can
see there are a lot of "ifs" involved so it may be more trouble to set up
that it is worth.

Part of the problem is figuring out which rectangle to delete.  If you
delete the "header" or "footer" rectangle then all the headers in the other
pages are gone as well :-(.  I haven't done any serious testing with these
methods so I don't know what would happen if you delete the maintext
rectangle of a page that is uniquen (i.e., one page lone with different
header and footer than all the other pages.)

Sub DeletePage()
Dim MyPane As Pane
Dim MyPage As Page
Dim i As Long
Dim lngUserView As Long
lngUserView = Application.ActiveWindow.View.Type
Set MyPane = ActiveWindow.ActivePane
On Error GoTo Err_Handler
Set MyPage = MyPane.Pages(InputBox("Enter the page to delete: "))
For i = 1 To MyPage.Rectangles.Count
 If MyPage.Rectangles(i).RectangleType = wdTextRectangle Then
   If MyPage.Rectangles(i).Range.StoryType = wdMainTextStory Then
     MyPage.Rectangles(i).Range.Delete
   End If
 End If
Next i
If Application.ActiveWindow.View.Type <> lngUserView Then
  Application.ActiveWindow.View.Type = lngUserView
End If
Exit Sub
Err_Handler:
If Err.Number = 5894 Then
 Application.ActiveWindow.View.Type = wdPrintView
 Resume
End If
End Sub