The comparison you make with the natural world is interesting. If you consider natural systems to be innovators in the space of making new organisms then what have we seen?

First, there were eras of explosive growth into new areas - for example, the first organisms to be able to live on land had a huge new area to grow on. Although the Cambrian 'explosion' may not be as rapid as once thought, the diversity of body plans when multicellularity was invented shows what can happen in moving into a new area.

So the current technological era might be a lot like modern biology - there's never going to be a repeat of the discovery of how to use oxygen, but species will live and die as before. Except of course for humans.

Confusingly here, the metaphor catches up with reality - humans as organisms have become humans as technological innovators, which has the potential for unlimited changes to biology. We could wipe out nearly all life, we could make endless new variants of existing or imagined organisms.

Finally, there's intelligence which got us here. If we succeed in making a truly artificial intelligence, then that could explore the limits of what intelligence can do. Perhaps there are even limits to that - certainly there are physical constraints - but we're not at that limit quite yet.