Can a (non-amiibo) forced out villager be taken by someone else?

[ferbie]

Hello!

Recently, Dom the sheep came to my campsite, and I persuaded him to move in. He asked Skye to move out, so she's in boxes; if someone else were to visit and speak to her, would it cause any issues? Would she be able to move to their island no problem, or would it be blocked since I essentially "traded" her in-game for Dom?

Thanks!