Yes, but it's not everything. You've got two and a half of the original four criteria there:
> An individual of an species has to initiate the production of another individual
️^ reproduction
> of the same species
It depends on what you're defining to be "the same species", but if we take that to mean "shares traits with the original", then that's "inheritance".
> new individual must have some differences
^️ mutation
The one you're missing is "selection"— that the future success at copying depends on the traits you inherited.
If you have variable traits, but they don't at least indirectly result in either more or fewer copies, then there is no cause for some traits to become more prevalent than others in the population and evolution won't occur. You'll just get a jumble of random traits without any trend toward fitness (aka more efficient copying).
It is a fact of nature/mathematics that those four rules are necessary and sufficient for evolution to occur. If you set them up, evolution will happen, guaranteed. Those rules constitute an algorithm, carried out by the laws of nature on the substrate of physical matter, whose result is evolution— a trend toward increasing reproductive fitness.
