complete DNA transfer across different organism zygotes
Unfortunately the answer is no. Similar experiments of cross species nuclear transplants into enucleated oocytes have been attempted. Rat nuclear transfer into activated denucleated mice oocytes, rabbit oocytes etc. 

The primary stumbling block appears to be incompatibility between mitochondria proteins derived from the donor nucleus and proteins derived from the host mitochondria. Mitochrondria proteins are encoded from two DNA sources, the genome within the nucleus and the genome within the mitochondria. While mammalian mitochondria proteins are very similar, there are differences. These small differences between species appears to be enough to kill a developing embryo if there is a miss match. 

Attempts have been made to replace both host nucleus and host mitochondria. However complete replacement of host mitochondria has not been successful. Partial replacement of host mitochondria (mouse oocyte as host and rat nucleus with rat mitochondria as donor), appears to marginally prolong the life span of embryo. But death is still the outcome.

PS: nuclear transfer between subspecies and very closely related species does produce viable clone.  Coyote (Canis latrans) using dog (Canis lupus familiaris) oocytes. (Bos gaurus) adult nucleus donor cells and bovine (Bos taurus). My guess is that if a hybrid is possible between the two species, nuclear transplant between the two species should be possible