Is there an autoimmune disease that mimic's meniere's disease?

Yes. It's possible for autoimmune disease of the inner ear to mimic the symptoms of meniere's. There are various other diseases that can mimic meniere's symptoms too.
No. Meniere's disesae is characterized by episodic vertigo lasting 30 minutes to 2 - 4 hours, fluctuating progressive hearing loss (often low frequency), plugged sensation in the ear and a roaring tinnitus. There are autoimmund disorders that may have some of these characteristics but not all and not as "rhythmic" as meniere's.