@tntype If you mean a hand-casting mound, then yes, sort of. How the matrix is justified plays a role, too though.
But in many typecasting machines, the answer is definitely no. There, it is the casting person who defines the body, by adjusting the machine until the sorts it casts match a reference sort. No the machine itself, or the matrix.

@tntype Moulds were built to be size specific. The width of the sort to be cast was determined by the build of the mould and the width of the body of the matrix itself (not the impression strikes into it).

@tntype I am not sure if two molds from separate places would have cast identical results based on the same matrix. Though I am quite intrigued by the question.

@typeoff precisely the scenario I am thinking about. My understanding is that the same matrix can be cast on different bodies – which are defined by the mould. Hence a different mould could produce the same typeface as a different fount with divergent vertical body dimensions