Yes, but not without a permit.
Operating a business out of your home depends on your residential zoning and type of business you intend to operate. Home Occupations are businesses that do not require customers to come on-site, and have no signage nor commercial vehicles indicating there is a business present. Home Businesses, such as physician’s offices and salons, are permitted on a case-by-case basis in certain residential zoning districts. Please see the Planning Department if you intend to open a business out of your home.
Bed and Breakfasts or other short-term rentals require a different process. See the FAQ addressing Bed and Breakfasts for more information.