Depends on how many centuries it takes us to go from our current primitive understanding of biology in the age of discovery, to biology as a completed engineering corpus. Once we have complete control over life at every level, we will spread across the galaxy within 2 galactic orbits, or around 44 million years. So from that perspective, we are on the starship already, it is only a matter of when and where we disembark.
Personally, I bet we will be able to recreate nearly all extinct life as we unravel the ways everything evolved. The mind boggling part is just how complex that task will be. Biology as something like a high level Python script, will make the present digital scope of knowledge look like protohuman education standards. Eventually you’re growing a brain with a deterministic neuron structure for digital computations and calling it your computer. That will eventually lead to all of us moving into space except for a few indigenous hold outs. Gravity prisons suck, and the resource scarcity due to gravitational differentiation does not exist in more wealthy regions of the stellar system.
The real key to getting to that future is to think and talk about it. Biology as a fully understood and mastered technology is obviously the next major age. That is the final human technology; when we finally exit the stone age of silicon.
Be the change you want in the world. That’s what I’m doing hunting anon to post here