It is completely possible; You need to get Operator on the server and type /stop.
I suspect, however, you do not have Operator. Therefore, you would have to learn how to perform a Denial of Service(DoS) Attack or a Distributed Denial of Service(DDoS) Attack. Both of these methods are Illegal; It is not recommended to try either of them, as you can be brought to court for "Hacking".
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If you are the host of the Server, you open up Minecraft Server . Wait for it to load then it will say its ready. If you are going to someone else's server, and it has no bars, then there server is not active. (Which means they dont have Minecraft Server up).
Check the Minecraft Wiki. It has information there.
The end of stream means the server has stopped streaming. This happens when the computer hosting the server is shutdown. It also happens when the server is down for whatever reason.
No but they can make you an op. Would you like to join my server? If you do visit these websites minecraft-cliffside-server.webs.com, cliffside-forums.webs.com
No. Except with mods and server plug-ins.