No. In December 2020, the 618 instances listed on our <a target="_blank" rel="noopener noreferrer" href="https://instances.joinpeertube.org/instances">public index</a> host ~1% videos tagged as NSFW (i. e. the content is sensitive, which could be something else than pornography).
Anyone with a modicum of technical skills can host a PeerTube server, aka an instance. Each instance hosts its users and their videos. In this way, <strong>every instance is created, moderated and maintained independently by various administrators.</strong>
You can still watch from your account videos hosted by other instances though if the administrator of your instance had previously connected it with other instances.
And there's more! PeerTube uses <a target="_blank" rel="noopener noreferrer" href="https://activitypub.rocks">ActivityPub</a>, a federating protocol that <strong>allows you to interact with other software</strong>, provided they also use this protocol. For example, PeerTube and Mastodon -a Twitter alternative- are connected: <strong>you can follow a PeerTube user from Mastodon</strong> (the latest videos from the PeerTube account you follow will appear in your feed), <strong>and even comment on a PeerTube-hosted video directly from your Mastodon's account.</strong>
Of course, PeerTube's video player adapts to your situation: if your installation does not allow peer-to-peer playback (corporate network, recalcitrant browser, etc.) video playback will be done in the classic way.
Update your name, avatar or description in <a target="_blank" rel="noopener noreferrer" href="https://docs.joinpeertube.org/use/setup-account#update-your-profile">your profile</a>
