Nope. A clinical psychologist is someone with a PhD or PsyD in Clinical Psychology.
An LCSW is not a psychologist, but with an LCSW-R designation (in NYC at least), they can do psychotherapy. If someone with an LCSW (MSW) decided to get a doctorate in clinical psychology, they’d no longer be practicing as a social worker, but as a psychologist.
A psychotherapist is not a psychologist, although the function is typically the same.
And it is typical for a medication management visit to last no more than 15 minutes.