Yes. I couldn't date a hardcore anti-communist or something, because they would be inherently opposed to some of my fundamental beliefs. I don't necessarily need to date someone that perfectly aligns with my politics either though, I am totally okay with dating a fellow traveler.

My partner is not exceptionally politically active and doesn't really go into reading much theory. When it comes up we tend to agree on politics more than we don't, but it isn't something we really discuss a lot. She votes for our local communist party (which is more soc-dem for the most part but eh) more often than not, so that's something.