Can I have a project appear in multiple teams (similarly to tasks in multiple projects)?
No you can’t
But you can have tasks multi-homed into several projects…
Hi @David_Breuer and welcome to the Forum!
As @Bastien_Siebman mentioned, it is not possible to multi-home a project in two different teams. But what you could do is create a project in the second team and multi-home all tasks from your first project into this other project. This way all tasks will be available in both teams, and changes made on one side will be reflected in the other project. To learn more about multi-homing, you can have a look at the following article from our online guide: https://asana.com/guide/help/tasks/fields#gl-multi-home
Hope this helps!