I don’t think that’s possible at this time.

Looking into this more it seems there’s an import and export, but not like a move like mastodon. Here’s from the page:

IMPORT

You can import an archive created by another PeerTube website.

This is an import tool and not a migration tool. It’s the reason why data (like channels or videos) is duplicated and not moved from your previous PeerTube website.

The import process will automatically:

Update your account metadata (display name, description, avatar...)  
Update your user settings (autoplay or P2P policy, notification settings...). It does not update your user email, username or password.  
Add accounts/servers in your mute list  
Add likes/dislikes  
Send a follow request to your subscriptions  
Create channels if they do not already exist  
Create playlists if they do not already exist  
Add watched videos in your video history  
If the archive contains video files, create videos if they do not already exist  

The following data objects are not imported:

Comments  
Followers (accounts will need to re-follow your channels)  

Select the archive file to import

EXPORT

You can request an archive of your account containing:

Your account settings with avatar file  
Your channels with banner and avatar files  
Your muted accounts and servers  
Your comments  
Your likes and dislikes  
Your subscriptions and followers  
Your video playlists with thumbnail files  
Your videos with thumbnail, caption files. Video files can also be included in the archive  
Your video history  

The exported data will contain multiple directories:

A directory containing an export in ActivityPub format, readable by any compliant software  
A directory containing an export in custom PeerTube JSON format that can be used to re-import your account on another PeerTube instance  
A directory containing static files (thumbnails, avatars, video files etc.)  

You can only request one archive at a time.