No...over time a creature produces offspring and then die. An animal does not change. Animals (plural) do not change. Each creature produces offspring of the same kind, however with slight genetic variation from that of it's parents. That is evolution.
I don't know if it is the only way. We have given names to similar creatures for eons, even without the word species. At one point bats were considered birds. According to that seemingly faulty categorization system bats were once considered birds. And of course they were birds until someone changed and narrowed the classification characteristics for birds. But now bats are mammals and not birds. You can argue that one is better than the other, but it really doesn't matter. Perhaps one day today's classification system will no longer suffice for future classification systems. Does that mean we were wrong? It is a human construct. It doesn't really exist. It is a product of the mind, nothing else.
For you they might. For me they might not. As I said, I see the term species as a nonexistent entity. However, I understand the terms quite well, and so I have no trouble using the term species for your benefit, or anyone else that might be obsessed with nonexistent things.