Sanders litterally wrote the damn bill for free-at-use medical coverage.
Current policy already has mechanisms (broken though they may be) to provide affordable medicine to people, ranging from government provided medicaid to income based discounts on drugs.
Current policy provides subsidized food to everyone in the country (and outside of the country, which is something of a sticking point on trade negotiations). We additionally provide further subsidies on a need based basis through the SNAP program (aka, food stamps).
Prices are already highly regulated for other utilities like electric and water (although, I am not sure what regulationd exist at the federsl level here)
EDIT: also, China is a rapidly growing economy that has overall had very succesfull policies. We should not blindly copy what they do, but "China did it" is not a convincing arguement.