Uh, nope.

We tend to use aboriginal in Canada, or to actually refer to a people by name, e.g., Dene, Cree, Métis, Inuit; we used to use Indian, but it's inaccurate and often considered offensive.

Note: Aboriginal includes First Nations (what used to be called Indian, or native), Métis, and Inuit, so is the best, most comprehensive term.

In Britain we'd probably go with Native American in a formal context, American Indian might be used but probably isn't as common anymore I'd say, Red Indian would be understood as well but it's a bit dated, I assume that would be considered an offensive term in the US though.

So while we use/understand the term (American) Indians, Indian by itself would be considered to refer to people from India.

It's also how they were called inside the US at the time.