Yes, that is correct. A bunch of random chemicals made life with no prompting from anyone. This may not have happened on the Earth. It may have been seeded with life from somewhere else, but at some point in the past, it had to have originated chemically.
Abiogenesis is a big stretch. For that, you need lots of precursors, lots of water, heat, moisture, and high energy radiation to kick things off. Natural radioactivity is possible but not always reliable. What is reliable is UV in outer space, near a star. Precursors are made in abundance there, then sent down to cloudy Earth where enough gather to seed life. I don't remember, I was just a little baby back then, but this is what I've been told by the elders.