Yes but NIST holds requests for crypto standards that are used widely around the world. As far as I know there's no requirement that the algorithm be created in the United States to be considered, but I'm not entirely sure about the process.

It seems to me that if the standard was better, faster, and more secure, then it would become the greater standard by merit. Unfortunately there's been a shadow on NIST since Dual_EC_DRBG was "pushed" through. I would like to think it's greater mission is still intact.