Von Neumann pointed out that an advanced civilization, with technology that we can predict should be developable, can colonize the entire galaxy in roughly 10 million years.
Von Neumann was much smarter than I but for such a calculation you have to make so many assumptions as to make it worthless. How can we possibly be able to predict what happens to a civilization in 10 million years?
And yes I am aware of Von Neumann probes. But as someone else pointed out there may be secondary effects we aren't even aware of.
Which is a blink of time by geological standards.