Answer: Yes!
A person may receive both Supplemental Security Income (SSI) Benefits and Social Security Disability Insurance (SSD) benefits. This usually happens where a person worked 5 of the last 10 years, but their earnings weren’t very high. Thus, the amount they receive under SSD is less than the amount they would receive under SSI. Because SSI is a supplemental income benefit, it only comes into play when a person has resources not to exceed $2,000 per individual or $3,000 per couple and they must be under the SSI income level. Therefore if a person is receiving SDI benefits, He/She would only receive additional benefits under SSI if the amount was low.
If you are disabled and qualify for both SSI and SSD benefits, you may also receive both Medi-Cal and Medicare benefits. If you do receive Medicare benefits you should look into a program that manages it for you, such as Secure Horizons, Kaiser etc. Often you can find a lot of benefits offered at no cost to you.