No.
That would be utterly terrifying. I mean, moreso than the things that are usually in the vicinity of an active galactic nucleus.
Toward the center of the accretion disk, material falling in gets going really fast and heats up to an extremely energetic plasma through friction; gravitational potential energy is more or less becoming heat here. Whenever a collection of charges moves--and a toroidal death cloud whirling around a black hole certainly counts--it sets up magnetic fields. But when a charged particle cuts across magnetic field lines, it gets deflected; when a relativistic charged particle cuts across the magnetic field lines produced by the biggest, scariest kind of dynamo possible, it'll /really/ get deflected, and will probably shoot off along one of the poles.
Nobody's entirely sure of the exact mechanism, but this is mostly because magnetohydrodynamics--that scary place that exists somewhere between fluid mechanics and electrodynamics--is a very thorny subject. However, the fundamental cause--very fast-moving charged particles, drawn in and sped up by gravity, simultaneously generating and interacting with magnetic fields of terrifying stature--seems to be a pretty uncontroversial idea, if the NRAO's lectures are any indication. That is the meaning of "not fully understood" in this case: The math's not all filled in yet and there are probably a lot of weird things still hidden in that horrid mess of electromagnetic fields, but we seem to have the basic idea down.