No.
But for about the same amount you would spend on a 22 conversion kit you can buy a 22 compact. It is roughly the same size as a Shield. a little lighter, has the same grip angle and despite being a hammer fired gun the trigger feels more like striker fired gun. It is not going to be as close to your Shield as a conversion would be but will be much more reliable than the Glock 22 conversions I have seen.