No.  By law, a landlord must accommodate someone who has a service animal.  This is true even if the landlord has a no pets policy.  A landlord is required to waive its no pets policy to accommodate a disabled person in need of a service animal.  A tenant in need of a service animal need only supply proof that the tenant is disabled and that their animal has been certified as a service animal or emotional support animal.  Once such is provided, the landlord must accept the service animal.  It is a violation of federal law for a landlord to attempt to evict someone who has a service animal or emotional support animal.