Yes, as advised - ask the city - but it is not likely , that R2 generally only allows for a second unit .
â€œRM-2â€ Multiple-Family Residential Zone. The intent of the â€œRM-2â€ Zone is to provide an attractive, safe and healthy environment, with townhouses and other low-rise, attached, single-family units with a minimum building site area per dwelling unit of three thousand (3,000) square feet. This zone implements the Low-Medium Density Residential and Low-Medium Hillside Density Residential land use designations in the General Plan. (Ord. 5944 3; September 28, 2004.)
Courtesy of the City of Anaheim and American Legal Publishing.