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.
You can call the CIty of ANaheim Planning and ask them what the procedure is to do so. Certain fees may apply and may take 4-6 or more to do so.
City of Anaheim Planning: 714-765-5139 plannng/zoning
Best of Luck.
In addtion to the great advice you have received by others, there may be another hurdle. Do you have a mortgage on the property? If so, that mortgage is for the entire property so you would need to talk with your lender to see if they will allow it. They MAY require you to pay down the mortgage when you subdivide the land.
Just something to think about -
Best of luck,
Newport Beach CA