At least the /kick one doesn't.
Would be nice to have that, except that a check for permissions would be required.
Now with Discord and MC names possibly differing, comparing against those might not be viable.
Is there a way do detect the roles of a discord user and possibly have a string array in the config of roles that equate to OP permissions on the server?
Alternatively, a config on specific discord user names that are allowed those permissions.

Roles would definitely be possible as that's what's used for commands in the config file (As seen on the Config Explaination wiki page)

I'd rather not use / as the beginning character as this could conflict with Discord's own commands.

A possible solution could be to add the ability to add custom commands in the config file.

Example

"commands": {
    "custom": [{
        "name": "kick",
        "cmd": "/kick $1",
        "roles": ["MyAdminRoleOnDiscord", "MyServerModeratorRoleOnDiscord"]
    }]
}

That would add !kick as a command on the Discord bot that can only be executed by people in two roles. When used as !kick Steve it would execute /kick Steve on the server.

Implemented as custom commands - Read more about it on this wiki page