I used to go light on breakfast, but now I try to eat a 700 calorie breakfast. I think it has kept me from snacking during the day. I do get hungry especially if I am doing my usual fun stuff: hiking, cycling, running, dog walking. But I am a light eater for lunch and dinner. For instance, I can make a Chipotle bowl last for 3 full meals.
I am not assiduous about carbs, but tend to avoid rice, pasta, breads, potatoes, sugars and allow oatmeal. Metabolic / cardiac / BMI numbers are good, but that doesn't mean I won't keel over today or tomorrow.
As for HbA1c, I think you might be able to goose your number if you:
1. Donate blood on schedule (say every 60 days), and
2. Try an extreme no carb, no sugar, no glucose diet for 4 months.
The blood donation should get rid of existing hemoglobin with lots of carbohydrate attached and the low carb, no sugar diet should reduce the attachment of oligosaccharides to the fresh hemoglobin created by the need for more of it by the blood donation.
Make sure your spleen is healthy so that is scavenges away the red blood cells, too.
If after 6 months, your HbA1c is unchanged, I would be surprised, but let us know.