Futurology

Google says solar system formed 4.6 billion years ago, but I'm gonna say 4.7 billion bc that would mean the planet would need to travel one light year every 100 million years.

And it would not need to go fast to do that - about running speed according to wolfram alpha

So there's definitely a chance! Which I wouldn't have expected.

Per reddit, our probes take about 16,000 years to go one light year.

It's unlikely that a random system would orchestrate a gravity assist as well as we can, but even at 1,000x slower than us, that'd put the planet leaving the solar system <1 billion years ago (~750 million years ago).