No. Only job applicants and employees with covered disabilities are entitled to reasonable accommodations.
Although you would not be eligible for a reasonable accommodation, you should not be treated differently from other employees because of your association with a person with a disability. For example, if you’re requesting to flex your schedule one day a week so you can take a parent to chemotherapy treatments, and other employees in similar positions in the department are permitted to freely flex their schedules for a variety of reasons, the department should not treat you differently from those employees.
In addition, you may qualify for protected leave to care for a family member under the Family and Medical Leave Act (FMLA) or the Hawaii Family Leave Law (HFLL). Contact your departmental HR office for more information on requesting these types of leave.