A couple of answers, based on my thoughts as a democratic socialist.
1. NO, you shouldn't, because "communism" as a word and a concept has become linked to Russian Communism as it used to exist in the Soviet Union, and Russian Communism -- though it actually did SOME good things -- was associated with political dictatorship, the twisting of scientific research for political reasons, a violent hostility to all forms of religion, and the genocidal mass starvation of millions of people in the 1930s.
When you label yourself a "communist," many or most people are going to think you're endorsing the crimes and blunders of Russian Communism in the old USSR, or the deaths of upwards of 20 million Chinese under Mao's version of Communism in the People's Republic of China. Nobody with a brain and a heart should favor this kind of "Communist" politics, even if members of the Communist Party in the USA have done some good things over the years in support civil rights reforms, labor rights, the peace movement, etc.
2. Another possible answer: "Yes," because "communism" with a "small c" is a form of economic and social organization that has inspired some great religious experiments over the centuries -- the early Christians of Jerusalem as described in the Book of Acts, for instance, the earliest Calvinist community in Geneva, Switzerland, and small Protestant groups like the Amana Colony, the Oneida Community, the Shakers and the Hutterites in North America. Some people also characterize the most idealistic of the Jewish kibbutzim in the early years of Israel's existence as "communist" in spirit.
3. A third possible answer: Maybe. "Communism" as Marx and Engels defined it during the 1800s meant a couple of different things. One was the idea of a classless society -- a society with no elites and no oppressed and exploited people, and therefore no violent conflicts between different classes, in which everyone would live cooperatively, and general prosperity would allow for the full intellectual and personal development of each individual - "the full development of each as the precondition for the full development of all."
In an odd way, this Marxist idea of "communism" celebrates individualism in a prosperous context, in a society freed from irrational and destructive political conflicts rooted in economic exploitation and the revolt of the lower classes against that exploitation. This is a way of thinking about "communism" that even some individualistic American conservatives might be able to support, if they could just get past the name.
4. Another potentially positive approach to "communism" is to think of it not as a blueprint for a perfect society, but as the name of a general movement to eliminate existing social and economic evils & establish a new society that works better. This is so-called "movement communism" -- not the pursuit of an impossible Utopia, but the development of a powerful social movement for a better world, with the shape of that world to be worked out on an experimental basis as the movement proceeds.
Personally, I think "communism" is a mistaken goal and "communist" is a truly rotten label to pin on yourself. If you call yourself a "communist," I think, you're shooting yourself in the foot politically and working to discredit any movement or organization you belong to. If you join a group I belong to and try to call yourself a "communist," I'm going to suspect you of being a double agent, an "agent provocateur" working for Breitbart or the police. But the opposite choice may be preferable to people who are attracted to religious communism, to the general ideal of a class-free and a conflict-free society, and/or to a powerful radical movement working to improve the society we've got.
-- democratic socialist