Good question! It's not possible to attach standards directly to a rubric, but it is possible to grade an assignment attached to a standard using rubrics. First create your standards and rubrics as normal. Then you will want to attach the assignment to any relevent standards, and the rubric you intend to use with it. I'm attaching a few articles that explain in more detail. I hope that helps!
How do I attach a Rubric to a gradable item in my class?