Not if "mitochondrial Eve" had progenitors, which seems to be the case. Right?
From what I've read, "mitochondrial eve" and "chromosonal Adam" don't prove anything, one way or the other, regarding the ultimate origin of the human race.
As I read the Bible, in any case, we should have common descent from Noah, who should be our last common paternal ancestor;
If the story of Noah is literally true, which seems doubtful, as far as I know. It's an open question for Catholics.
It means your biblical 'Eve' has to be older than mitochondrial Eve - much older. That pushes the genetic bottleneck back to maybe half a million years. At that stage, were we human? Could Homo erectus have had a chat with a snake, or with Adam? And is it likely a viable species could be derived from two individuals?