Do first babies always drop before labour?

Laura

I am a FTM and until now I was thinking I would have my baby early, but I am now 39 + 2 weeks and I’m not starting to feel the opposite. He has not dropped at all visibly but at my last midwife appointment (38 weeks) he was 3/5th engaged. I have read that with first babies they usually visible drop days or weeks before labour.. is this always the case? Could I still have him any time?