You can hide your follows and follower lists on Mastodon if you want to.
Log in through the website, go to Edit Profile > Hide Your Social Graph, tick the box and click Save Changes.
You will still be able to see these lists when you're logged in, but other people will see a message saying "This data isn't available".
@freeschool
Yes, it may be in another menu if your server is running an old version of Mastodon.