No, accepting financial assistance from family members will not affect your Social Security Disability award. Gifts will not interfere with your claim but having a job will. Social Security Disability was created to help provide income to those who have been or will undergo a year without work due to an illness or injury. Because of this, it is highly likely your claim will be denied if you can work.
You are allowed to receive help from others while your disability claim is under review. This process usually takes six months. The SSA understands this process is long and frustrating, and they are not going to penalize you for receiving help. However, keep in mind there is a difference between receiving help and having a "steady stream of income," according to Disability Benefits Help. Any regular payment such as investments, annuities, trust funds, etc. could negatively impact your claim.