Some chemical compounds can have more than one crystal form.
Calcite and Aragonite would be such an example.
In addition, there can be substitution of one element by another
of similar charge and mass. In a specimen of heulandite I have,
some of the original calcium has been replaced by barium, and
eventually by strontium, to the extent of about 10%.
The mica group would be a good example of various forms of very
similar minerals.
To some extent it depends upon how strictly one conforms to the
definition of a mineral with 'a fixed chemical composition'.
Additionally, the effect of including trace contaminants is well
illustrated in the various silicate crystal gems.