It seems to be possible to kick people out of the server even without any admin status. I am a player on DayZ SE 1-6 - Hosted by MPGS.co.
I had someone hot micing while no one was around me (I think this issue has already been reported as a bug) so I thought to find a solution to mute the player. After searching I found the player hot micing, but then it dawned to me that I could try if #vote kicking would work on the server so to start the vote and let the players decide what to do for the player currently hot micing.
After typing #vote kick [name here] and pressing Enter the player was directly kicked out of the server when I actually thought it would just point every player to cast down their own votes to kick the hot micing player. {F28250} {F28251} {F28252}