Yes, you could very well be having hypos without knowing. A person can be diabetic and also have reactive hypoglycaemia.
My HbA1C is good and doesn't show that I have both highs and hypos, I had to prove that to my GP by taking several BG readings through the day for a few days and presenting that to them before they had the sense to send me for a prolonged Glucose Tolerance Test. A seven hour test did show that after a high my blood sugar drops rapidly and down to a dangerous level. Exercise and stress both accelerate that process so I can also have hypos during the day.
Being aware of that means that I can plan meals and snacks to avoid the highs and lows. I tend to have whole grain carbs in the mornings when I'm more active, snacks through the day rather than lunch and then an evening meal that is high in protein so that I don't get a high or low in the night. That type of eating pattern may also help you to level out your highs and lows.
Track your BG readings to figure out what your pattern of highs and lows is and then adjust your eating so that you have a snack or meal before half an hour before a low would happen and adjust what you eat so that the foods most likely to raise your BG are eaten at a time when you will be awake and active and those less likely to raise your BG are eaten for your evening meal.