Definitely. Furthermore, the effects of motion in that field could induce a lot of current and heating in a person. Some of the experimental super-high field strength MRI scanners are reportedly prone to zapping experimenters.

Here's a video of someone braver than myself experimenting with the effects of magnetism on his brain while he speaks: https://www.youtube.com/watch?v=XJtNPqCj-iA

First this is borderline mad, the shocks sound nasty, second it seems to me that more than speech is impacted, his whole face stutters.

This is awesome. Wonder if it could be possible to make military helms that would prevent solders from disobeying orders or for helping them stay calm and focused by shutting panic part of brain.

Yeah, the strength of field that would literally destroy molecules is a ridiculously loose upper bound.

For a practical example of this, see 'Transcranial Magnetic Stimulation':

http://en.wikipedia.org/wiki/Transcranial_magnetic_stimulati...

TMS uses magnetic fields that change with time while the linked article talks about the effect of static magnetic fields.

While this is true, the point was that weak magnetic fields have an effect on human cognition.