The question is pretty simple:
Can we build a device that coverts mechanical work in electric current1 without employing a permanent magnet and without access to any external source of current?
The restrictions in place seem to rule out the possibility of current generation via induction; and I cannot think of another practical method. I have heard that industrial alternators sometimes work with electromagnets, but we don't have access to any external source of current, so this path doesn't seem viable.
Do we really need stupid magnetic rocks to produce current? Unacceptable.
To be more specific and minimize to risk of misunderstandings: my question is more or less equivalent to the following one
Can we build a device, powered by hand via some sort of rotating lever, that produces electric current, crucially without employing any external current and without any permanent magnet?
: Usable electric current, let's say sufficient to properly power up a lamp; doesn't matter if AC or DC.