Can you be sick from swallowing a bit of face wash and bar soap? would you be sick immediately after or can it happen a day later?

Usually immediately : And small amounts shouldn't cause a problem. We are pretty tough.

Yes but minor: Your nervous system /gut are both wired to help you live...by making you vomit if you ingest something foul. That said, a bit of soap would seldom trigger that response unless it was particularly nasty tasting.The soap itself would cruise through your gut without problems. Some people take a related product for gas all the time.Don't loose sleep over this.