Then again, there are bactaria that breath Iron and eat uranium.
Yes/No (delete as inapplicable).
But, anyway, I think the (novelisation) I Am Legend version of the zombie (identified as Vampire, but sufficienty zombie-esque insofar as reanimation stakes, so it applies to the 'practical' zombies we're discussing) the truly dead are completely powered by the microbial infection. Echoed in several other intelligent zombie explanations (and at least one 'grey-goo' novel, where it's microbes evolved to have emergent-intelligence, and which go on to consume most of the biosphere, rather than the 'traditional' nano-mechanical grey goo), these might self-organise into the powerhouse, nervous and even structural components of the body, according to need.
If the dead-zombie body still has a working cardio-pulminary system, and isn't underwater or in some other situation where it is useless, then there's no need to substitute the function. If there's a problem (e.g. lungs effectively removed, thanks to a shotgun blast to the torso) then the piggy-backing turns to life-support functionality. Of course, this indicates a massively redundant functionality within the infective microbe, both to contain the functionality (from a form of calcification to overcome broken bones to the absorbtion anmd distribution of various alternate life-supporting elements/transportation products to analogise the original respiration function) and to actually
respond well to the situation (proper body-plan mapping to tell when the host is damaged, and not mistake the normally deoxiginated blood in the circulatory system immediately before the lungs as an indicator of respiratory problems requiring drastic measures). The fact that the brainstem might be a vital requirement for the infection to get and keep a basic hold upon the
host du jour could be the reason behind decapitation (or any form of 'headsplosion') being the take-down method for such composite creatures.
Difficult to design into such an infective organism, possible (but lengthily trial-and-error) to evolve in a natural and/or forced manner. Probably the realms of alternate reality, but theoretically possible.