Yup. A Jedi Knight should have no problem with just about any number of zombies - Force-push one or many away, use saber in hand or thrown to slice-and-dice zombie heads, use Force-TK to manipulate small or large objects to damage or crush the zombies, and perhaps even use the Force directly to simply pop the heads off or crush them. Jedi prohibitions against using the Force directly against a living being to harm them should not apply - zombies aren't living.
And their danger sense ought to essentially prevent them from being taken by surprise, either. Lightning? Well, maybe - there'd be the involuntary-muscle-contraction effect, but it wouldn't HURT the zombies, and did not ever appear powerful enough to simply blow holes through the target (remember, Luke was immobilized and in enormous pain, but there was little to no physical damage from the Emperor's lightning, once he got pitched into the pit).
I suspect a zombified Jedi would be unable to use Force powers. With no conscious mind to direct the use of the Force, any remaining potential the body might possess should remain untapped, and since it's only generated by living things, since zombies aren't living they shouldn't have any potential.
Could a Jedi's self-healing abilities overcome a zombie bite? Possibly, but not enough information to be certain one way or the other. Particularly-powerful Jedi such as Anakin, Luke, Yoda - almost certainly, I'd say. Generic Jedi #54, who survived the Battle in the Geonosis Arena by the skin of his teeth? Who knows.
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