Generally no. Immigration officials will not consider your family members’ use of medical, food, or housing assistance. Your family members can use these programs without fear.
Immigration officials can consider cash assistance that your family members use if it is your family’s only source of income. If you have a family member getting ongoing cash assistance (for example, if you have a child who gets SSI), you should try to make sure your family has other income, such as income from a parent’s job.