Symptoms Right After Conception?

the last day of my period was the 5th, me and my SO had intercourse on the 10th. I started feeling nauseas and started puking on the 13th. is it possible that it's morning sickness already? ive been cramping, urinating often and constantly feeling like I have to puke. I think it's way too soon to take a test but I was just wondering if anyone else has experienced this and been pregnant.