According to Gilberto Zuccherelli and Giuseppe Zuccherelli, two Italian authors of a book (a little bit antiquated) about the actinidia :
http://www.agricolajerez.com/web/engine/detail.asp?Id=1155
it is possible to graft A. deliciosa y A. chinensis on A. arguta and A. kolomikta and vice versa, but they say that _"a solid graft union doesn't mean necessarily a good development of the plants, so, although the grafting between actinidia species can be done satisfactorily, it is not recommendable if you want to get a good performance" _
In any case, this book is focused for professionals, maybe "a weak production" for a professional can be enough for an amateur...