no thats is not possible for now because cryptokitties is only using metamask which only works on a desktop pc or on a laptop. it wont work on an ios even if your using a chrome and set it to desktop mode or pc view because that doesnt still supports chrome add ons or plugins to be able to run metamask. you can read that on their faqs page . though maybe soon implement it on any operating systems like android and ios  and also they might want to add other wallet options and payment alternative to be able to use it on any devices. this is also the problem on why the etherium network has been really slow and congested thesedays , this problem might be fix if the devs can add any other payment method like bitcoin or some altcoins.