Does Human Evolution Disprove a Kamma Based Rebirth?

I've started my practice as a Buddhist. Currently, I've read a few books about Buddhism particularly the Theravāda lineage for myself it seems more appropriate. While reading about kamma one thing started to bug me. It is said rebirth is conditioned by kamma. Which implies my good deeds may lead me to be born as human for example, while bad ones as mosquito. Homo Sapiens are on Earth for circa 200 000 years. Does that mean more than 1 million years ago no one could reach Nibbana, since there were no modern humans?