What maddspoiler said.

There are many ways into the profession but if you want to work in a brewery just find one and go and ask. There's ALWAYS something to do in an active brewery and no job is below anybody's station. You'll find brewers scrubbing floors, packaging, cleaning kegs, it ALL needs to be done.
I'll speak from experience here... I went to my local craft brewer and ended up there on a Friday when they were particularly busy. I started work the following Wednesday! I started with cleaning bottles and packaging and eventually worked my way up to brewer's assistant and am now brewing regularly.
It CAN be done, just take that first step.