Yes, you can become addicted psychologically to anything that produces an altered state of mind or feeling (feeling is really the mind at work). For one, DMT can produce euphoria, and that euphoria simply cannot come without some sort of response/downregulation by the brain. I experienced this euphoria without breaking through.
Saying that the individual is responsible for the apparent psychological addiction is somewhat subjective and biased, favoring drugs. I tend to think that both the person and the chemical are responsible. We may have full control over our actions and be able to beat a psychological habit through sheer will power, but the point is that it can sometimes take significant effort. Any effort required at all on our part shows that the substance has some addictive potential.
EDIT: I just want to add that just because something has addictive potential, psychological or physical, does not mean it is dangerous. Almost anything in life you enjoy will have psychologically addictive potential (think about video games in particular), but they are not necessarily detrimental to our lives. The word 'addictive' has many negative connotations, especially in Western society/medicine I would think, but the problems only start when you allow the activity/substance to ruin the quality of your life and detract from important things, such as family, job, health, happiness.