Sort of.

More specifically:

Suppose Bart Simpson is walking through a constant magnetic field.  The flux through his body remains constant, and no current is induced.  His neurons are able to maintain their relatively negative internal charge (see Rest.html), and when a stimulus causes them to be moved to an action potential, potassium ions can diffuse in and cause the inside of the neuron to temporarily be more positively charged than the outside (see Action.html).  In fact, Bart's entire nervous system is made up of neurons that function in this way.

However, if Bart were to stroll through a changing magnetic field, some current would be induced in his body.  The current would most likely be induced along pathways in his body which carry electricity already, such as those of the nervous system.  If the change in flux induced current that caused every single positively charged potassium ion to leave Bart's neurons, the neurons would sense something very wrong with their situation, and would undergo a process called apoptosis.

Apoptosis is, essentially, cell suicide by means of a few of its own specialized enzymes.  This would be a horrible fate because, as most people know already, nervous system cells do not reproduce.  Bart would have forever lost those neurons.  Neuronal apoptosis could cause him to gradually lose control of his body.

However, if Bart were very old, and were to stroll through a changing magnetic field which induced current such that the outward flow of potassium ions from his neurons was reduced, it could slow down the rate of their death and he could avoid
Alzheimer's disease.

Interesting, no?

Now that we are so enlightened, let's move on to some physics application questions.