Had unprotected sex 06/22/2014. took emergency pill within 27 hours. lmc 06/17/2014. is my current pregnancy from this encounter or a different one?

Unsure: More details would be needed. For example: HOw far along you are in your pregnancy. Your Ob/gyn would be better able to answer your question.

No way to know: This would put you at about 8 months, the best time to asses dates, and conception is in the first 6-12 weeks. At this point it is not possible to know when conception occurred, especially if you are sexually active. No contraception method is 100% effective except abstinence, in other words, emergency pills, condoms, etc all have failure rates.