My fasting blood sugars are between 5 & 6.5 on a morning before food or meds
My question is does getting up at around 4am affect blood sugar levels
I can only give you my experience - I'd guess that it's not the time you set the alarm for that causes it. First year after diagnosis my FBG was around the level you describe - I couldn't see any pattern to it. BG back in non-diabetic range didn't affect things. I had the dawn phenomenon glucose dump - it woke me up anytime from 3.30am onwards. Daylight seems to have soemthing to do with that.
In the last six months the FBG has dropped back to 4.8-5,6 territory - still get the dawn phenom, though. It does seem to be something that takes most time to drop back.