I am having dizziness and nausea vomiting and cramping I ovulated 5 days ago could ibe pregnant?

yes you could be pregnant but I wouldn't go and do a pregnancy test right away because you could get a false negative: a negative answer from the test when you are actually pregnant. you are having many of the symptoms of early pregnancy so don't lose hope! just wait a little longer because five days is a bit too early for a test. try the day before or the day you are expected to get your period and you will get the best results.
I hope this helped! and good luck!
-lisbet