Yes, but you need to get the right hitch. They are rated according to the max trailer weight; and also the bolt pattern which attaches them to the trailer can be different between them. So it would be worth seeking out a like-for-like replacement with your existing hitch.
If you need to adapt something or spend money, you may as well convert to auto-reversing brakes (the mechanism is within the hub/brakes at the wheel).
If you need to adapt something or spend money, you may as well convert to auto-reversing brakes (the mechanism is within the hub/brakes at the wheel).