An RAF Lancaster Bomber tail gunner- Flt. Sgt. Nicholas Alkemande- jumped from his burning plane in 1944 and fell 20,000ft without a parachute.
He landed in a stand of snow-covered fir trees, the branches of which broke his fall, and then landed in the snow drift at the bottom of the trees.
He twisted his ankle and broke his leg, but otherwise was able to walk (hobble) away from the incident, and was treated as a celebrity by the Germans when they captured him as a POW. So yeah, It’s not outside the realms of possibility.
My suspension of disbelief issues usually involve the incorrect use of firearms… I can overlook revolvers with 30 shot magazines and semi-autos that never run out of ammo, but it really annoys me when someone’s making an historical piece and they have people armed with guns that didn’t exist at the time.
The two most blatant examples of this are in Zulu and The Blue Max.
There’s a sequence in Zulu when the British are firing volleys and advancing on the Zulu- but it’s clear that they’re using bolt-action rifles (Lee-Enfield Mk Is), when the Lee-Metford/Enfield rifles weren’t adopted until 1889 (10 years after the movie was set), and not in general issue until about 1895 or so.
The explanation, apparently, was that they’d run out of .450/577 calibre blanks for the Martini-Henry rifles (and if you look during the later scenes of the film, you can indeed see that the actors are simply dry-firing the guns and simulating the recoil, with the gunshot dubbed in later)- but the .303 calibre Martini-Enfield is externally almost idential (certainly close enough not to be noticed in the film) to the Martini-Henry, there’s plenty of them about in South Africa and the UK, and blank ammo is readily available.
The Blue Max has a sequence where the German Army is marching across No-Man’s Land in WWI… armed with Lee-Enfield No 4 Mk II rifles! (The Lee-Enfield No 4 Mk II wasn’t introduced until 1949, and was never used by the Germans). Of course, the reason for this is that the “Germans” in the film are really the Fianna Fail (Irish Army), and they were so equipped when the film was made.
Indiana Jones & The Temple Of Doom also has a sequence right at the end, when the Indian Army show up and start shooting the evil cultists- again, armed with Lee-Enfield No 4 Mk I rifles which weren’t introduced until 1939 (well after the film was ser), not readily available until 1941/1942, and most importantly, were never issued to the Indian Army at the time (who were using Ishapore-made SMLE Mk III* rifles).
Lawrence of Arabia also has the Turks armed with SMLE Mk III rifles for some inexplicable reason (Should have been Mauser M98 rifles), and Lawrence himself has a seemingly inexhaustible supply of Webley Mk VI revolvers- which, ironically, he is not known to have used during the Arab Revolt, preferring instead the Colt M1911, Mauser C96 “Broomhandle”, and the Colt Single Action Army. Still, the Webley looks right, and it’s my favourite handgun, so I figured I could let that pass. 
The Bad Guy Explaining His Plans To The Hero thing never works outside James Bond movies, either…