@Yaisa0 Since your space is a shared space, I think the answer is no because you may be allergic to pet fur or dander. And if this is the case, it should be noted in your house rules.
On another note. If it is truly a service animal, the animal must be with the owner 24/7–no leaving service animal alone; and you can ask specifically what task the service the animal will be providing and what has the service animal been trained to do.