Yes, many people report intense sadness and tears during a psychedelic session. It can be part of letting emotions surface so they can move through.
Experiences often come in waves: sadness may rise, be felt, and pass, making room for calm, relief, or even joy. Crying does not mean the whole session will be heavy.
If this happens, breathe, allow it without forcing, and use the support available if you have a sitter or guide. For a short perspective on this topic, see this Q&A.
Afterward, give yourself space to integrate. Rest, journal a few notes, and talk with someone you trust.
Be gentle with yourself.