I have diabetes and I just bought a low carb monster energy drink, is it ok for me to drink?

How low is low. Read the label and know the total carbs in it. Low carb does not mean zero carb.
It depends. Most of the problems from diabetes come from long term poor control. An occasional boost of blood sugars is probably not going to do one that much harm. Stimulants can cause blood sugars to go up. The main concern is that it can become a habit.