var $img = $('<img/>').attr({

  'id': 'cursor',

  'src': 'http://static.jsbin.com/images/dave.min.svg'

});

​

$(document).on('touchstart touchmove', function (e) {

  var touch = e.originalEvent.changedTouches["0"];

  $img.css({

    top: touch.clientY - 25,

    left:  touch.clientX - 25,

    display: 'block'

  });

});

​

$img.appendTo('body');