Yes. It was a common cuff type for per War militia units for both coatees and frock coats. These originally were used to protect the split where the sleeve could be opened. I have seen it referred to as an English cuff. I have seen them called by other names by people who study uniforms.
Often this had a color patch sewn on which was the same as the coat lining or regimental color and was then called a "flash". Mexican-American coatees had false button hole lace on these (originally the lace protected the button hole from fraying).