No not eating enough won't bring on diabetes because that's not what diabetes is caused by.
However overeating and gaining too much weight can lead to diabetes but it's not a direct cause of diabetes nor does sugar intake increase the chance of or cause diabetes.
Diabetes is usually genetic and is thought to be caused by genes and also environmental factors, such as viruses, that can trigger diabetes.
You can get diabetes whether you're overweight or even skinny and it's not what you eat or anything however certain foods may increase the risk of getting diabetes but it doesn't cause it.