What keeps it pumping after you finish the printing process? Why would it be alive?
If you ever watched the old Star Trek: The Next Generation series, you would remember that more than once they wrestled with definitions of life forms that were excluded by standards of traditional life forms. More than once they came up with crystalline life, energy-only (i.e. non-corporeal) life, and heck, even the original Star Trek "Devil in the Dark" episode had a silicon-based life form. There are some basic requirements of life including self-replication, response to stimuli, and ingestion/secretion cycles. That's not an exhaustive list, but those three are high on the list. Isaac Asimov, one of the world's most prolific writers, had a short story as part of his I, Robot series, I think titled "The 0th Law," in which there was one time when a robot could disobey his infamous "Three Laws of Robotics." It had to do with a robot that could replicate itself and thus cross over towards life.
A computer that can, from start to finish, rebuild other computers just like itself, perhaps with help in getting raw materials but otherwise driving the entire process, would perhaps start towards crossing that line. So far as I know, some factories come close but they lack the degree of self-guidance in response to adverse stimuli. So I'm not saying AI is impossible. We just aren't there yet.
(Sudden image flashing through my mind in a future world where a kid in the back seat unpacks their brand-new version of "Alexa 6.0" and turns it on. Suddenly the father hears an unfamiliar voice from the back seat asking "Are we there yet?")