Is there a way to invite someone with only Download and View permissions?

Hi Emma, 

Welcome to Box Community and glad to assist!

You can create an open shared link to allow both preview and download without having to invite collaborators. 

Creating a link to share:

1. In your Box files view, hover your cursor over the row of the file or folder you wish to share.
2. On the right, click (Create and) Copy Shared Link (). 

   The Shared Link window opens.  The link automatically copies to your clipboard.

    

That's it.  You can now paste that link into the app of your choice -- email, messaging, and so on -- to share your content.

Meanwhile, to allow download for your shared link, 

To edit the settings of your shared link:

1. In the Box window, hover on the file or folder.
2. Click Share. You can also either click the right mouse button or the ellipsis (...) to access Share.
3. In the Share window, click Link Settings. Box displays the Shared Link Settings window.
4. Edit the settings to which you have access. To enable a setting, click its checkbox for allow download. 
5. Click Save.

Thanks for posting!