There are many ways of generating electricity without magnetic induction: https://en.wikipedia.org/wiki/Electricity_generation#Methods...

Batteries was (iirc) the typical way it was done before Faraday.

Motors would be harder though.

I always thought that was the steam punk idea. No magnets = no radio or other long distance communication. Other than possibly a fiber optic telegraph with limited range.

Spark gap radio?

You can get into arguments about specifics by saying they still have light so they still have say EM radiation. But, what is and is not magnetism get's a little wonky when you get into the specifics. Strong, weak, electromagnetic force, and gravity. That's it. Without magnetism you don't get atoms.

However, if you hand wave that the induction coil is a transformer used to step up voltage and transformers work fairly directly though magnetism.

And plasma tweeters!