Yes, definitely. There are some programs that won't get back until March. You can see when individuals programs released results in previous years on the Results page.
I was invited to an informal talk with my POI at Johns Hopkins. I'm told they accept around 10-13 students per year and typically make their decisions at the end of January. However, I'm not certain if interviews are part of their regular process.
If you applied to the Department of Near Eastern Studies at Princeton, I think so. I don't know about other departments there and whether they do interviews (same for Yale).
I applied to Columbia History but haven't heard anything—and have not seen reports of anyone hearing back yet. Any communication would probably be informal. Columbia History is a large-ish program and receives hundreds of applications. I did see that MESAAS came up with their shortlist.