Yes, you can definitely eat the middle part of carrots!
The entire carrot, including the inner core, is edible and nutritious. In fact, the inner core (xylem) is a good source of essential minerals like calcium, phosphorus, magnesium, and potassium. Discarding it would mean missing out on these nutrients, as well as fiber which is present in all parts of the carrot.
Therefore, there's no reason to avoid eating the middle part of a carrot. Enjoy it as part of a healthy diet!