Very unlikely as far as I know (I'll stop short of saying impossible). Snakes are cold-blooded & harbor mostly different pathogens than warm-blooded mammals.
But just in case, don't let your snakes kiss your rodents...Your rodents are FAR more likely to catch YOUR colds & such.
Are you asking because you offered your BP a live rodent that it didn't eat & now you realize it has an R.I.-? In general, it's a bad idea to re-offer prey to other snakes you have, as they can be a disease vector (they can transfer the R.I. from your BP to another snake you have).