Would the storyline be next to impossible in real life?
The only reason Dr. Kimble escaped imprisonment in the first place was when he became one of the only surviving prisoners when the prison bus was hit by a train.
https://www.dailymail.co.uk/news/article-3021175/What-train-wreck-Set-used-famous-scene-Fugitive-cost-1-5m-shoot-North-Carolina-mountains-left-crew-22-years-ago-visit-it.html
https://qph.fs.quoracdn.net/main-qimg-2dabd68ff7a9d839db053e3f8d7ce114
After surviving this unimaginable disaster, the injured doctor is then able to walk a couple of miles to a local medical clinic. Somehow, still in prison clothes, Kimble is able to sneak in and perform full stitchwork on his own deep wounds. After shaving his beard and changing clothes, Kimble then steals an ambulance as his getaway vehicle. Gerard and his team are soon on Kimble’s tail, and they find the ambulance abandoned in a tunnel where Kimble has snuck away under a storm drain.
The U.S. Marshalls are able to chase Kimble down the sewer lines, where Kimble comes to the tunnel opening. Before him is a dam dropping down hundreds of feet. And what does Kimble do right as Gerard is about to arrest him? He high-dives the hundreds of feet down to the spillway below without extra wires or even a life jacket! And mind you, the filmmakers just threw dummies off the spillway instead of real human bungee-jumpers. But the film actually shows Kimble surviving the jump.
https://qph.fs.quoracdn.net/main-qimg-6e9694f2886f2b0ac7ba73875c5fa699
https://www.mentalfloss.com/article/87339/13-running-facts-about-fugitive