I had my period June 1 and I spotted the last 3 days of June an now its July 3 and I didn't get my period could I be pregnant?

If you had sex, missed a period, then pregnancy is possible.

Wait a few more days. If you still haven't gotten your period then try a home pregnancy test. If it's negative wait another week or two, and then test again, or go to the doctor for a more accurate blood test.