Is it normal to have spotting after sex if I am pregnant?

Yes. Any new bleeding in pregnancy should be reported to your doctor/cnm. The cervix is very friable (bleeds easily) in pregnancy. Because of this, many women experience spotting after intercourse. I would not qualify this as normal, but it is very common and most times not worrisome.
It can happen. But u need evaluation by your OB to make sure nothing strange is going on, ideally u should not bleed after sex i always do an exam and ultrasound to r/o placental problems or cervical problems.