Is there a possibility I could be pregnant after my period?

I was meant to have my period on 30th may or 31st may don't exactly remember but I missed and it got delayed and I came on today.

According to the glow app since I got my period today, it shows i ovulated those days I missed my period which is 30 may and 31st may. Partner and I had unprotected sex 1st June.

Is it worth doing a pregnancy test on 22nd june. Also when would be the best time.to have sex.to.get pregnant, we.are trying for.a baby.