Yes. Patients who haven't been diagnosed with type 2 diabetes yet can also present with low blood sugars (as well as elevated blood sugars). However, there are many reasons someone might have low blood sugars who doesn't have diabetes as well.
Possible. Possible during the early stages of diabetes/ beta cell dysfunction rapid and abnormal first phase Insulin release response takes place leading to exaggerated rise of Insulin and subsequent hypoglycemia (called reactive hypoglycemia). You may benefit of low meal portions that are of low glycemic index (typically food that are rich in fiber).