it's highly unlikely... There's a (probably directed, weighted) graph of species-species transmission potential, and it does seem to obey some rough distance rule, which does NOT correlate necessarily with species distance rule. We think that cows can transmit to humans; cows and sheep can co-transmit. (if you have a sheep with scrapie sharing a pasture with cow, the cow can get mad cow disease). deer though do not seem to transmit to cow, even though CWD is super common in deer and deer and cow pasture together pretty much everywhere in the US except maybe hawaii.
Here, a transgenic mouse with human prion protein is resistant to CWD transmission; but the same mouse with elk protein is susceptible.
http://www.tandfonline.com/doi/full/10.1080/19336896.2015.11...