So I was searching up some stuff and a saw this Barrens Chat and I kinda wanna see the game and try it is there any way I could get onto the game without downloading and unblocked?

You can try and search some videos on YouTube if that's what you mean, but I'm not quite sure I fully understand what you want exactly.

Maybe check blizzards website, they have free trial on the retail version at least. Maybe there is something similar for classic since it's through the same subscription.

Edit: And no you can't play this game without downloading it, even if you only want to "try" it.

Either sub for a single month, it's only 15 bucks, or try the game out on a private server. Other than that, you don't have many options.

No

You could try the game on a private server, but it still has to be downloaded. Currently Blizzard doesn't offer any free trial for classic, but it might come in the future :)