Depends.
If you're talking about "classical" psychology/psychiatry after Freud/Jung/Adler, yup, pseudo-science all right. If that. Freud, of course, had his weird obsessions with Oedipus and penis envy, but you should read some of the crap Jung came up with - synchronicity, archetypes, the collective unconscious. Mysticism, not science.
Modern psychiatry, with an emphasis on pharmacy (drug treatment) and evidence based interventions (electroconvulsive therapy, cognitive behavioral therapy), etc. - pretty scientific. A neurophysiologic basis is sought whenever possible and treatments are evaluated with randomised controlled trials.
Some modern practices are still pseudoscientific - the Rorscharch test, hypnotic "regression" therapy, etc. - but self-respecting psychiatrists don't generally pander to this crap.