You can nil the OnClick event handler while changing a radiobutton state programmatically:
procedure TForm1.Button6Click(Sender: TObject);
var
Save: TNotifyEvent;
begin
Save:= RadioButton2.OnClick;
RadioButton2.OnClick:= nil;
RadioButton2.Checked:= not RadioButton2.Checked;
RadioButton2.OnClick:= Save;
end;