It is very possible to do so, BUT I always added to my flock of pets, 2 at a time, or more. The newcomers will of course be picked on initially. After a short while, the newcomers will integrate into the flock. When there are 2 new chickens,,,,, they will always hang together (for support). In time past, I have purchased new chickens from separate sellers, and added them to my flock together. Even though those chickens never seen each-other before,,,, they hung together when I added them to my flock.
My newest additions are these 2 Seramas. Sisters BTW, but one from March, and other from May this year.
They always hang together,, but are totally integrated into flock. My total flock is 7 hens now

Integration took about 5 days or so.
So, my suggestion,,,, is to do 2 at a time