It is not. As one who's been suspected in the past of having both conditions, and seen two inner-ear specialists, I can say this with a lot of confidence. I hope you don't have either one.
An AN is a (benign) tumor, completely unrelated to autoimmune disease.
Good luck to you.
The only possible connection I can think of is symptom overlap. Depending on where the tumor is, and what nerves it may be pressuring, it might cause MS like symptoms.
Kyle