Yes, unless *HANDLE or *HANDLE{IO} is still referenced by something.

{
   my $fh;
   {
      local *HANDLE;
      open(HANDLE, '>', 'temp') or die;
      print HANDLE "foo\n";
      $fh = *HANDLE{IO};
   }

   print $fh "bar\n" or die;  # Works.
}
# Now it's closed.
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