Not transformers.
They are usually buck down converters. They use a switching transistor, storage inductor, a few caps to filter it, and a diode to catch the inductor kick.
Older versions use a Darlington pair for the transistor. They needed over about 1.4 volts, just to turn on. So 5 + 1.4, means you need 6.4 volts just to start.
But I have seen some that are LDO (low drop out voltage) with a good mosfet that operate down to near 5 volts.
Alternately, I got a small bag of cheap BOOST converters from China years back for a project. I took one of those and wired it up for a friend to run a 12 volt GPS from his model T 6 volt system. You could do that, boost the 6 to 12, then use a normal charger. Inefficient though, if that matters. It will likely need almost 10 watts in, just to get 5 watts out.
I would get a couple of cheap chargers and test them, I'll bet you find one that works just fine at 6 volts. It is going to depend on the chip used and the power transistor type.