The phrase "to reach the finish" means to complete or finish a task or goal. It means to reach the end point or the final destination of something. Full definition
With cutscenes before and after each stage, you can't help but wish there was a little more ground to cover before reaching the finish line. (gamespot.com)
An effective Learning and Development program is like a marathon, but if you are investing in it like it's just a sprint, you might not reach the finish line. (elearningindustry.com)
The team came really close to keep things under wraps, but didn't quite reach the finish line. (sbnation.com)