<ArrayOfNUMPAS>
<NUMPAS>Номер паспорта животного1</ NUMPAS>
<NUMPAS>Номер паспорта животного2</ NUMPAS>
</ArrayOfNUMPAS>

var    Xml: IXMLDocument;
...
   Xml:= TXMLDocument.Create(nil);
...
   with Xml do
    begin
     with   DocumentElement do
          begin          //DocumentElement
            
 ...
             with AddChild ('ArrayOfNUMPAS')  do
              begin //ArrayOfNUMPAS
                for nb:=0 to aqBirki.recordcount-1 do
                 begin
               AddChild('NUMPAS') ;
               ChildValues['NUMPAS']:=aqBirki.FieldByName('nbirki').value;
                 aqBirki.Next;
                 end;
              end;

- <ArrayOfNUMPAS>
  <NUMPAS>333333333333</NUMPAS> 
  <NUMPAS /> 
  </ArrayOfNUMPAS>

root:=DocumentElement ;
arr:=root.AddChild('ArrayOfNUMPAS');
for nb:=0 to aqBirki.recordcount-1 do
begin
  item:=Arr.AddChild('NUMPAS');
  item.Text:= aqBirki.FieldByName('nbirki').value;
  aqBirki.Next;
end;