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)