38 weeks and the 5day and doctors haven't checked my cervix yet.. is that normal

Yes , every doctor is different . Some Drs don't check until you're 39 or 40 weeks . Mine waits until you're 39 weeks .

I got checked once at 37 weeks. The next time I was checked was during my induction

As @lauren5786 said it depends on the doctor. mine didn't check till i was 39 and 5 days.

last time I was checked was at 36 weeks I am now 39 weeks and hopefully they check me at my next doctors appointment on the 19th.