Hi @William Thompson,
Currently there is no such function to move a list to another site directly. You can create a list from an existing list in SharePoint Online. Check the documentation at:
[Create a new list based on the columns in another list](https://support.microsoft.com/en-us/office/create-a-new-list-based-on-the-columns-in-another-list-49666e8c-8c48-414f-8e5e-dc0e232acd27"Create a new list based on the columns in another list")
When you do this, the entire list structure is copied, including views, formatting, and columns. However, the actual content of the original list isn't be copied.
You can also try following the solution given in below link if you are not using the O365 group connected site (using site templates): [Copy list to another site](https://answers.microsoft.com/en-us/msoffice/forum/msoffice_sharepoint-mso_win10-mso_o365b/copy-list-to-another-site/d718aa1c-a211-4f13-9ffb-c0d4a9cd3453"Copy list to another site")
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