The short answer to this question is "not really". beer spoilage is almost always wort spoilage, meaning something went wrong at the beginning of fermentation and an undesirable organism amplified up along with, or often instead of, the desired yeast strain.
These undesirables are mostly temperature dependent, the same way that ale yeast is. Since 99% of homebrew ferments in the 65-75 deg F range, this is a good environment for these bugs to thrive. However, once you crash the temp down to storage/serving temps (high 30s - low 50s?), these organisms mostly go to sleep. So even if you had a badly contaminated* keg hooked up to a multi-keg CO2 manifold, it's not really a big deal because assumedly this whole contraption is sitting in the cold box so the bad bugs can't multiply rapidly. At the very least, the kegs themselves are sitting cold, so if somehow beer from the contaminated* keg made its way to another keg, it wouldn't grow up in the second keg. it wouldn't do that beer any good, but it wouldn't do it much harm either.
now, if you're still freaked out about this in terms of your CO2 manifold, then my next question is: do you have backflow preventers between your regulators and your kegs??
if you don't, you really need them! even HBers with just a one-keg setup need this! the main reason is to keep beer from shooting back into the valve body of the regulator, drying on all the inner surfaces of the mechanism, and just generally screwing up the works. if you have laid out the money for, and are into this hobby enough to own a CO2 manifold, then you should definitely have backflow preventers for every keg line! they're like $4-5 each, but how much were your regs? $50? $75? and how much is it worth to never have to worry about whether your reg is showing the correct psi? if your regs have never seen a corny without a blackflow in between, then you'll probably never have a reg problem.
*Contamination vs. Infection: An "infection" is what we call it when an invading microorganism colonizes a living thing. Since beer is not a living thing, it cannot become "infected". Instead, we say that it is "contaminated". Conversely, when you get sick, catch a cold etc, you wouldn't say that you're "contaminated". Nobody ever heard their girlfriend complain about a Urinary Tract Contamination, ha ha.
The more technical distinction that's being made here is that invading microbes that infect do so by entering "inside" of an organism. Microbes that contaminate beer can't really be "inside of" the beer, because beer doesn't constitute a larger macrosystem. The microbes are just "around" and "between" the beer particles, feeding on them.
(Source: I'm an ex pro-brewer with a chemistry degree)