since you're at the same stage as me with 6 villagers, no, sadly.
in order to boot them out immediately, you need 10 villagers and an amiibo card of a villager afaik
I think as far as moving them out naturally, like previous games, you just gotta wait. quite horrible, I know.
apparently ignoring them helps, but people said that in acnl and it never helped for me (plus you get nook miles for talking to your villagers each day)
it did work in new leaf, but you had to ignore them COMPLETELY. Literally can't even have one dialogue with them or they will start getting the regular patterns