I don't have experience with this personally, but from what I've seen on the Nooks cranny forum you need to have an empty plot in order to recruit a boxed villager.
My friend has Raymond. There is no Amiibo card, and by the time he decides to move, I will be at 10. So, I will likely have to TT just to line it up, what a PAIN. I really don't want to TT at all. I haven't up until this point.