You wouldn't be having morning sickness this early in your pregnancy. Morning sickness is from the rise in HCG which your body isn't used to so it makes you queasy. You would need to come up positive on a pregnancy test before it would be high enough.
It is always a possibility. Unfortunately all you can do is wait. When the time is right you can take a pregnancy test just to be sure. Either take one if you miss your period or if youre really dying to know there are some that should tell you up to 5 days sooner. Generally the earliest sign that women will use to indicate pregnancy is the missed period, the other symptoms, such as nausea, typically come just a bit later. If you have had sex in within the time that you would have been ovulating then it is still a very real possibility. Good luck getting the answer you want.