They should be able to.
You can check what they’ll see as non-members by copying the URL for your compact tree, logging out of Wikitree, and testing the link.
If you can’t see your compact tree, that means your privacy is set too high. You need your privacy set to at least ‘private with public family tree’ to share your tree with others. (I like ‘private with public biography and family tree’ so I can include something about my research interests.)
P.S. I’ve just had a look at your profile and it’s completely private, so your compact tree won’t work right now.