They’ve trimmed a tree on my property because it was too close to power lines, so… yes, they can do that. Although they trimmed near the lines on the street, not the one connecting to my house.

I’m not sure if you can explicitly request it, and I’m also not sure if you can stop them from doing it if it’s endangering public infrastructure. They didn’t ask me before they did it, just informed me as they were getting started.