Traveling to the United States in 2022 without a Covid vaccine [duplicate]

As of 2022, is it required to have a Covid vaccination certificate to enter the United States?

Yes

Are there exemptions for negative tests or prior infection?

There is an exemption for prior infection. Negative tests are required for everyone as well.

If you recently recovered from COVID-19, you may instead travel with documentation of recovery from COVID-19 (i.e., your positive COVID-19 viral test result on a sample taken no more than 90 days before the flight’s departure from a foreign country, and a letter from a licensed healthcare provider or a public health official stating that you were cleared to travel).

See: https://travel.state.gov/content/travel/en/international-travel/emergencies/covid-19-faqs-for-travel-to-the-us-information.html