dee1
It exists, but it wouldn’t be a hamotzi.
Gluten-free oats is the only grain that would be gluten-free and hamotzi (barley, rye, wheat, and spelt all have gluten). (There is a more rare sheeta which holds that even oats are not hamotzi.)
There are other flours you could use that tastes great, which would be either mezonos, haadama or shehakol, depending on the flour used (rice flour, potato flour, corn flour, quinoa flour, tapioca flour, almond flour, etc.).