Honestly, I wouldn't risk it. All skewers are on one big pit, and it's likely that the skewers sat in the same spot as another meat at some point. My aunt has a severe shellfish allergy, and if she gets even a tiny bit of shrimp juice (LOL) on her food, she is headed straight for the ER. We would not risk it there with her. I don't know how often the grill is really cleaned well, or how often the skewers are really cleaned between cooking.
All the meat is cooked on seperate skewers, since they cook at diff times, but they are all on the same firepit.
You could give the manager a call and ask, but if she's as sensitive as my aunt is, I wouldn't risk doing it... better safe than sorry sometimes.