Is there any way you can block the origin of referral traffic?

In other words: I am trying to send someone traffic however, don't want the person to know from which site the majority of the traffic comes from.

I would like them to see: www.example.com sending traffic while I use that as a backlink on a couple of my sites. Is that even possible?

Would using a URL shortener/ or somehow "redirect URL" do the trick?