The United States has public housing projects, and Medicare/Medicaid coverage of nursing homes.

We also have government provided halfway houses.

We also have government provided housing for orphans.

We also have welfare, which people can use to pay for housing.

We also have section 8, which allows low income people to live in normal apartments but the government pays part of their rent.

Would that be partially socialized housing?

In total, about 5 million US household receive some kind of housing assistance. So yes, very, extremely partial.