Yes, but only if your employer can demonstrate that you are not a qualified individual with a disability or that reasonably accommodating you would create an “undue burden” for your employer. It is your employer's responsibility to provide you with reasonable accommodation unless they can prove it causes undue hardship on the business. Here are some reasons that your employer may lawfully be able to deny your reasonable accommodation request:
The accommodation is too costly: If your employer does not have the financial means to grant your request, they may be able to deny it.
Your accommodation is too challenging: If your employer lacks the means or resources to accommodate your request, they could deny it.
The accommodation inhibits your job performance: If the accommodation prevents you from performing your primary job duties, an employer will deny it.
Note that only businesses with 15 or more employees are required by law to provide reasonable accommodations, but that does not mean a small business will necessarily be incapable of providing the accommodation necessary.