Currently yes. I'm saying it is wrong though.So it is possible for a group to have rights.
Again you are misinterpreting, not only the Constitution but the 1st amendment. "religion" and "the press" are ideas.So you can't just assume that a right is only for an individual, since the constitution does recognize group rights too. Groups were contemplated as having rights right there in the same amendment, and there is no reason to think they can't have the right of speech. Groups even have rights to written speech (the press).
If you worked for the NYT and someone asked who you worked for, would you say "I work for the press" or would you say "I work for the NYT"?
If they asked you what industry you worked in would you say "the press" (or today we would probably say the media) or would you say "the NYT"?
Can you see the difference? One is an idea the other is a corporation.
For people, the press and religion. Nothing else is listed, period.The First Amendment clearly states that there will be no laws restricting speech.